476
476 is the conventional date for the fall of the Western Roman Empire.
- Even
- Composite
Where 476 fits
Why 476 is special
The last western emperor was deposed in 476 and no replacement was appointed. Contemporaries did not experience it as an ending — the eastern empire continued for another thousand years and the date was chosen by later historians, which is why it is a convention rather than an event.
Same number, different meanings
How 476 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The last western emperor was deposed in 476 and no replacement was appointed. Contemporaries did not experience it as an ending — the eastern empire continued for another thousand years and the date was chosen by later historians, which is why it is a convention rather than an event.
- History
The last western emperor was deposed in 476 and no successor appointed. Contemporaries did not record it as the end of anything — the eastern empire ran for another thousand years — and the date was selected by later historians as a convenient marker.
- Technology & computing
CWE-476 is NULL pointer dereference, usually producing a crash rather than compromise. Its consequence is availability, which is why it ranks lower than weaknesses of similar frequency.
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
- Prime factorisation
- 2^2 × 7 × 17
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 476
- Scientific notation
- 4.760 × 10^2
Roman numerals
C D L X X V I
CDLXXVI uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.
Binary
1 1 1 0 1 1 1 0 0
1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 476
Octal
7 3 4
7 × 64 + 3 × 8 + 4 × 1 = 476
Hexadecimal
1 d c
1 × 256 + d × 16 + c × 1 = 476
Read as powers of two: 256 + 128 + 64 + 16 + 8 + 4 = 476.
In historical numeral systems
Egyptian
4 coils of rope, 7 hobbles, 6 strokes
4 × 100 + 7 × 10 + 6 × 1 = 476. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
7 vertical wedges (sixties place), 5 corner wedges + 6 vertical wedges (units place)
7 × 60 + 56 = 476. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
upsilon, then omicron, then stigma, marked as a numeral
upsilon-omicron-stigma + keraia
upsilon + omicron + stigma written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then ayin, then vav
tav-ayin-vav
tav (400) + ayin (70) + vav (6) = 476, written in descending order.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
- Harshad (Niven) number
Related numbers & connections
Two starting points for different periodisations — the deposition of the last western Roman emperor, and the migration from which Islamic years are counted. Neither was experienced as an epoch by the people present.
View 622 →History
The last western emperor was deposed in 476 and no successor appointed. Contemporaries did not record it as the end of anything — the eastern empire ran for another thousand years — and the date was selected by later historians as a convenient marker.
DocumentedHistoryGeography: Western Roman EmpirePeriod: 476
Technology & computing
CWE-476 is NULL pointer dereference, usually producing a crash rather than compromise. Its consequence is availability, which is why it ranks lower than weaknesses of similar frequency.
DocumentedTechnology & computingGeography: International — MITRE CWEPeriod: 2006–
Common questions
Is 476 a prime number?
No, 476 is not prime.
What are the factors of 476?
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
What is 476 in Roman numerals?
476 in Roman numerals is CDLXXVI. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be CCCCLXXVI, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026