362,880
362,880 is 9 factorial — the number of ways to arrange nine distinct objects.
- Even
- Composite
Where 362,880 fits
Why 362,880 is special
362,880 is the count of orderings of nine things, and the first factorial most people meet that feels genuinely large. It is also the number of ways to fill a single Sudoku row, which is why a full grid's count runs to twenty-one digits rather than anything intuitive.
Factors & digit properties
- Divisors (160)
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 80, 81, 84, 90, 96, 105, 108, 112, 120, 126, 128, 135, 140, 144, 160, 162, 168, 180, 189, 192, 210, 216, 224, 240, 252, 270, 280, 288, 315, 320, 324, 336, 360, 378, 384, 405, 420, 432, 448, 480, 504, 540, 560, 567, 576, 630, 640, 648, 672, 720, 756, 810, 840, 864, 896, 945, 960, 1008, 1080, 1120, 1134, 1152, 1260, 1296, 1344, 1440, 1512, 1620, 1680, 1728, 1890, 1920, 2016, 2160, 2240, 2268, 2520, 2592, 2688, 2835, 2880, 3024, 3240, 3360, 3456, 3780, 4032, 4320, 4480, 4536, 5040, 5184, 5670, 5760, 6048, 6480, 6720, 7560, 8064, 8640, 9072, 10080, 10368, 11340, 12096, 12960, 13440, 15120, 17280, 18144, 20160, 22680, 24192, 25920, 30240, 36288, 40320, 45360, 51840, 60480, 72576, 90720, 120960, 181440, 362880
- Prime factorisation
- 2^7 × 3^4 × 5 × 7
- Digit sum
- 27
- Digital root
- 9
Representations
- Decimal
- 362880
- Scientific notation
- 3.629 × 10^5
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0
1 × 262,144 + 0 × 131,072 + 1 × 65,536 + 1 × 32,768 + 0 × 16,384 + 0 × 8,192 + 0 × 4,096 + 1 × 2,048 + 0 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 362,880
Octal
1 3 0 4 6 0 0
1 × 262,144 + 3 × 32,768 + 0 × 4,096 + 4 × 512 + 6 × 64 + 0 × 8 + 0 × 1 = 362,880
Hexadecimal
5 8 9 8 0
5 × 65,536 + 8 × 4,096 + 9 × 256 + 8 × 16 + 0 × 1 = 362,880
Read as powers of two: 262,144 + 65,536 + 32,768 + 2,048 + 256 + 128 = 362,880.
In historical numeral systems
Egyptian
3 tadpoles, 6 fingers, 2 lotuses, 8 coils of rope, 8 hobbles
3 × 100,000 + 6 × 10,000 + 2 × 1,000 + 8 × 100 + 8 × 10 = 362,880. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
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
- Factorial number
- Harshad (Niven) number
Related numbers & connections
362,880 is 9!, nine times 8!. It is also the number of ways to fill one row of a Sudoku grid with the digits 1 to 9.
View 40320 →Both are factorials — 9! and 6!. The five hundredfold gap between them covers only three steps of the sequence.
View 720 →Mathematics
362,880 is 9!, and therefore the number of ways to fill a single Sudoku row with the digits 1 to 9. The full grid count is far smaller than 362,880 to the ninth power because the constraints interact, and establishing the true figure took a computer search rather than an argument.
DocumentedMathematics
Common questions
Is 362,880 a prime number?
No, 362,880 is not prime.
What are the factors of 362,880?
The factors of 362,880 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 80, 81, 84, 90, 96, 105, 108, 112, 120, 126, 128, 135, 140, 144, 160, 162, 168, 180, 189, 192, 210, 216, 224, 240, 252, 270, 280, 288, 315, 320, 324, 336, 360, 378, 384, 405, 420, 432, 448, 480, 504, 540, 560, 567, 576, 630, 640, 648, 672, 720, 756, 810, 840, 864, 896, 945, 960, 1008, 1080, 1120, 1134, 1152, 1260, 1296, 1344, 1440, 1512, 1620, 1680, 1728, 1890, 1920, 2016, 2160, 2240, 2268, 2520, 2592, 2688, 2835, 2880, 3024, 3240, 3360, 3456, 3780, 4032, 4320, 4480, 4536, 5040, 5184, 5670, 5760, 6048, 6480, 6720, 7560, 8064, 8640, 9072, 10080, 10368, 11340, 12096, 12960, 13440, 15120, 17280, 18144, 20160, 22680, 24192, 25920, 30240, 36288, 40320, 45360, 51840, 60480, 72576, 90720, 120960, 181440, 362880.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026