Numberwise

476

476 is the conventional date for the fall of the Western Roman Empire.

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Where 476 fits

Where 476 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 622, 753.MathematicsHarshad (Niven) numberRelated numbers622753476
476 connects to 2 worlds: mathematics, related numbers.

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.

476 connects to:

  • 622 contrasts with
  • 753 is associated with

Same number, different meanings

How 476 is understood across different contexts — never implying one meaning because of another.

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
Binary
111011100
Octal
734
Hexadecimal
1dc
Roman numeral
CDLXXVI
Scientific notation
4.760 × 10^2

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
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.

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

Other connections

  • contrasts with622
    why?

    Strength 0.50, confidence "high".

  • is associated with753
    why?

    Strength 0.50, confidence "high".

How is 476 connected to another number? →

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.

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: 3 August 2026