480032640 has 96 divisors (see below), whose sum is σ = 1657632600. Its totient is φ = 128007168.

The previous prime is 480032639. The next prime is 480032653. The reversal of 480032640 is 46230084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35910 + ... + 47429.

Almost surely, 2^480032640 is an apocalyptic number.

480032640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480032640 is an abundant number, since it is smaller than the sum of its proper divisors (1177599960).

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

480032640 is a wasteful number, since it uses less digits than its factorization.

480032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83364 (or 83349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480032640 is about 21909.6471902219. The cubic root of 480032640 is about 782.9912752315.

The spelling of 480032640 in words is "four hundred eighty million, thirty-two thousand, six hundred forty".