480472972 has 48 divisors (see below), whose sum is σ = 1045009728. Its totient is φ = 188559360.

The previous prime is 480472903. The next prime is 480473003. The reversal of 480472972 is 279274084.

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, 3972 + ... + 31252.

It is an arithmetic number, because the mean of its divisors is an integer number (21771036).

Almost surely, 2^480472972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480472972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522504864).

480472972 is an abundant number, since it is smaller than the sum of its proper divisors (564536756).

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

480472972 is a wasteful number, since it uses less digits than its factorization.

480472972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27346 (or 27344 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 480472972 is about 21919.6937022395. The cubic root of 480472972 is about 783.2306136421.

The spelling of 480472972 in words is "four hundred eighty million, four hundred seventy-two thousand, nine hundred seventy-two".