| Base | Representation |
|---|---|
| bin | 1101111111011101010… |
| … | …00110100100100000000 |
| 3 | 1200221212221121211011000 |
| 4 | 12333232220310210000 |
| 5 | 30334031213021240 |
| 6 | 1004503510452000 |
| 7 | 46506211326105 |
| oct | 6775650644400 |
| 9 | 1627787554130 |
| 10 | 480745048320 |
| 11 | 175979057299 |
| 12 | 79208664000 |
| 13 | 36445c25b44 |
| 14 | 193a7c80aac |
| 15 | c78a4d7430 |
| hex | 6feea34900 |
480745048320 has 288 divisors, whose sum is σ = 1707116423040. Its totient is φ = 128113090560.
The previous prime is 480745048291. The next prime is 480745048321. The reversal of 480745048320 is 23840547084.
It is a happy number.
480745048320 is a `hidden beast` number, since 4 + 80 + 74 + 5 + 0 + 483 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×4807450483203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (480745048321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64865415 + ... + 64872825.
It is an arithmetic number, because the mean of its divisors is an integer number (5927487580).
Almost surely, 2480745048320 is an apocalyptic number.
480745048320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 480745048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853558211520).
480745048320 is an abundant number, since it is smaller than the sum of its proper divisors (1226371374720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480745048320 is a wasteful number, since it uses less digits than its factorization.
480745048320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9318 (or 9298 counting only the distinct ones).
The product of its (nonzero) digits is 860160, while the sum is 45.
The spelling of 480745048320 in words is "four hundred eighty billion, seven hundred forty-five million, forty-eight thousand, three hundred twenty".
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