480507664 has 40 divisors (see below), whose sum is σ = 1145829440. Its totient is φ = 190090368.

The previous prime is 480507653. The next prime is 480507679. The reversal of 480507664 is 466705084.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163554 + ... + 166465.

It is an arithmetic number, because the mean of its divisors is an integer number (28645736).

Almost surely, 2^480507664 is an apocalyptic number.

It is an amenable number.

480507664 is an abundant number, since it is smaller than the sum of its proper divisors (665321776).

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

480507664 is a wasteful number, since it uses less digits than its factorization.

480507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330047 (or 330041 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 480507664 is about 21920.4850311301. The cubic root of 480507664 is about 783.2494639445.

The spelling of 480507664 in words is "four hundred eighty million, five hundred seven thousand, six hundred sixty-four".