472202608900 has 81 divisors (see below), whose sum is σ = 1126481108277. Its totient is φ = 171682552800.

The previous prime is 472202608883. The next prime is 472202608939. The reversal of 472202608900 is 9806202274.

The square root of 472202608900 is 687170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169992939204 + 302209669696 = 412302^2 + 549736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75585577 + ... + 75591823.

Almost surely, 2^472202608900 is an apocalyptic number.

472202608900 is the 687170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472202608900

472202608900 is an abundant number, since it is smaller than the sum of its proper divisors (654278499377).

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

472202608900 is an equidigital number, since it uses as much as digits as its factorization.

472202608900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 472202608900 in words is "four hundred seventy-two billion, two hundred two million, six hundred eight thousand, nine hundred".