480294724032 has 84 divisors (see below), whose sum is σ = 1376961538680. Its totient is φ = 160065280512.

The previous prime is 480294724003. The next prime is 480294724069. The reversal of 480294724032 is 230427492084.

It is a happy number.

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, 2798394 + ... + 2965062.

It is an arithmetic number, because the mean of its divisors is an integer number (16392399270).

Almost surely, 2^480294724032 is an apocalyptic number.

It is an amenable number.

480294724032 is an abundant number, since it is smaller than the sum of its proper divisors (896666814648).

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

480294724032 is a wasteful number, since it uses less digits than its factorization.

480294724032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171690 (or 171677 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 480294724032 in words is "four hundred eighty billion, two hundred ninety-four million, seven hundred twenty-four thousand, thirty-two".