| Base | Representation |
|---|---|
| bin | 11100101001001… |
| … | …010101111000000 |
| 3 | 1020111020200001100 |
| 4 | 130221022233000 |
| 5 | 1441010211140 |
| 6 | 115403534400 |
| 7 | 14623432560 |
| oct | 3451125700 |
| 9 | 1214220040 |
| 10 | 480553920 |
| 11 | 227295300 |
| 12 | 114b2a400 |
| 13 | 78736b42 |
| 14 | 47b72da0 |
| 15 | 2c2c6530 |
| hex | 1ca4abc0 |
480553920 has 504 divisors, whose sum is σ = 2086916832. Its totient is φ = 99348480.
The previous prime is 480553901. The next prime is 480553933. The reversal of 480553920 is 29355084.
480553920 is a `hidden beast` number, since 4 + 80 + 553 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439262 + ... + 2439458.
It is an arithmetic number, because the mean of its divisors is an integer number (4140708).
Almost surely, 2480553920 is an apocalyptic number.
480553920 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 480553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).
480553920 is an abundant number, since it is smaller than the sum of its proper divisors (1606362912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480553920 is a wasteful number, since it uses less digits than its factorization.
480553920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 480553920 is about 21921.5400918822. The cubic root of 480553920 is about 783.2745962698.
The spelling of 480553920 in words is "four hundred eighty million, five hundred fifty-three thousand, nine hundred twenty".
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