456480
456,480 is an even composite number composed of four prime numbers multiplied together.
456480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 456480:
25 × 32 × 5 × 317
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 317)See below for interesting mathematical facts about the number 456480 from the Numbermatics database.
Names of 456480
- Cardinal: 456480 can be written as Four hundred fifty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.5648 × 105
Factors of 456480
Divisors of 456480
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 317 360 480 634 720 951 1268 1440 1585 1902 2536 2853 3170 3804 4755 5072 5706 6340 7608 9510 10144 11412 12680 14265 15216 19020 22824 25360 28530 30432 38040 45648 50720 57060 76080 91296 114120 152160 228240 456480
- Sum of all divisors σ(n): 1562652
- Sum of proper divisors (its aliquot sum) s(n): 1106172
- 456480 is an abundant number, because the sum of its proper divisors (1106172) is greater than itself. Its abundance is 649692
Bases of 456480
- Binary: 11011110111001000002
- Hexadecimal: 0x6F720
- Base-36: 9S80
Squares and roots of 456480
- 456480 squared (4564802) is 208373990400
- 456480 cubed (4564803) is 95118559137792000
-
The
square root of 456480 is 675.6330364925 -
The
cube root of 456480 is 76.9970201805
Scales and comparisons
How big is 456480?- 456,480 seconds is equal to 5 days, 6 hours, 48 minutes.
-
To count from 1 to 456,480 would take you about five days.
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 456480 cubic inches would be around 6.4 feet tall.
Recreational maths with 456480
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The information we have on file for 456480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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