480552576 has 256 divisors, whose sum is σ = 1545830400. Its totient is φ = 129392640.

The previous prime is 480552539. The next prime is 480552587. The reversal of 480552576 is 675255084.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082905 + ... + 6082983.

It is an arithmetic number, because the mean of its divisors is an integer number (6038400).

Almost surely, 2^480552576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480552576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772915200).

480552576 is an abundant number, since it is smaller than the sum of its proper divisors (1065277824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480552576 is a wasteful number, since it uses less digits than its factorization.

480552576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 480552576 is about 21921.5094370803. The cubic root of 480552576 is about 783.2738660555.

The spelling of 480552576 in words is "four hundred eighty million, five hundred fifty-two thousand, five hundred seventy-six".