472465504 has 48 divisors (see below), whose sum is σ = 1076544000. Its totient is φ = 199914624.

The previous prime is 472465501. The next prime is 472465519. The reversal of 472465504 is 405564274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472465501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4347 + ... + 31045.

It is an arithmetic number, because the mean of its divisors is an integer number (22428000).

Almost surely, 2^472465504 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 472465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538272000).

472465504 is an abundant number, since it is smaller than the sum of its proper divisors (604078496).

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

472465504 is a wasteful number, since it uses less digits than its factorization.

472465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26795 (or 26787 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The square root of 472465504 is about 21736.2716214166. The cubic root of 472465504 is about 778.8551602898.

The spelling of 472465504 in words is "four hundred seventy-two million, four hundred sixty-five thousand, five hundred four".