472627600 has 45 divisors (see below), whose sum is σ = 1136533377. Its totient is φ = 188877120.

The previous prime is 472627567. The next prime is 472627613. The reversal of 472627600 is 6726274.

The square root of 472627600 is 21740.

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., 170145936 + 302481664 = 13044^2 + 17392^2 .

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, 434257 + ... + 435343.

Almost surely, 2^472627600 is an apocalyptic number.

472627600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472627600 is the 21740-th square number.

It is an amenable number.

472627600 is an abundant number, since it is smaller than the sum of its proper divisors (663905777).

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

472627600 is an equidigital number, since it uses as much as digits as its factorization.

472627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The cubic root of 472627600 is about 778.9442213744.

Multiplying 472627600 by its product of nonzero digits (28224), we get a square (13339441382400 = 3652320²).

The spelling of 472627600 in words is "four hundred seventy-two million, six hundred twenty-seven thousand, six hundred".