472965200 has 30 divisors (see below), whose sum is σ = 1136299854. Its totient is φ = 189185920.

The previous prime is 472965167. The next prime is 472965203. The reversal of 472965200 is 2569274.

It can be written as a sum of positive squares in 3 ways, for example, as 18593344 + 454371856 = 4312^2 + 21316^2 .

It is a super-2 number, since 2×472965200² = 447392160822080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472965203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590807 + ... + 591606.

Almost surely, 2^472965200 is an apocalyptic number.

472965200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472965200 is an abundant number, since it is smaller than the sum of its proper divisors (663334654).

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

472965200 is a wasteful number, since it uses less digits than its factorization.

472965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182431 (or 1182420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 472965200 is about 21747.7631033631. The cubic root of 472965200 is about 779.1296450075.

The spelling of 472965200 in words is "four hundred seventy-two million, nine hundred sixty-five thousand, two hundred".