480804924 has 48 divisors (see below), whose sum is σ = 1165248000. Its totient is φ = 154189056.

The previous prime is 480804911. The next prime is 480804941. The reversal of 480804924 is 429408084.

It is a super-3 number, since 3×480804924³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26052 + ... + 40500.

It is an arithmetic number, because the mean of its divisors is an integer number (24276000).

Almost surely, 2^480804924 is an apocalyptic number.

It is an amenable number.

480804924 is an abundant number, since it is smaller than the sum of its proper divisors (684443076).

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

480804924 is a wasteful number, since it uses less digits than its factorization.

480804924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 480804924 is about 21927.2643984607. The cubic root of 480804924 is about 783.4109464469.

The spelling of 480804924 in words is "four hundred eighty million, eight hundred four thousand, nine hundred twenty-four".