480788364 has 48 divisors (see below), whose sum is σ = 1284028928. Its totient is φ = 137161728.

The previous prime is 480788353. The next prime is 480788401. The reversal of 480788364 is 463887084.

It is a super-3 number, since 3×480788364³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57132 + ... + 65004.

Almost surely, 2^480788364 is an apocalyptic number.

It is an amenable number.

480788364 is an abundant number, since it is smaller than the sum of its proper divisors (803240564).

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

480788364 is a wasteful number, since it uses less digits than its factorization.

480788364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 480788364 is about 21926.8867831254. The cubic root of 480788364 is about 783.4019522003.

The spelling of 480788364 in words is "four hundred eighty million, seven hundred eighty-eight thousand, three hundred sixty-four".