459372172900 has 27 divisors (see below), whose sum is σ = 996852323019. Its totient is φ = 183746158080.

The previous prime is 459372172879. The next prime is 459372172951. The reversal of 459372172900 is 9271273954.

It is a happy number.

The square root of 459372172900 is 677770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1194808356 + 458177364544 = 34566^2 + 676888^2 .

It is a super-2 number, since 2×459372172900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6743812 + ... + 6811588.

Almost surely, 2^459372172900 is an apocalyptic number.

459372172900 is the 677770-th square number.

It is an amenable number.

459372172900 is an abundant number, since it is smaller than the sum of its proper divisors (537480150119).

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

459372172900 is an frugal number, since it uses more digits than its factorization.

459372172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135568 (or 67784 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 459372172900 by its sum of digits (49), we get a square (22509236472100 = 4744390²).

The spelling of 459372172900 in words is "four hundred fifty-nine billion, three hundred seventy-two million, one hundred seventy-two thousand, nine hundred".