252052400 has 60 divisors (see below), whose sum is σ = 631907472. Its totient is φ = 96433920.

The previous prime is 252052397. The next prime is 252052447. The reversal of 252052400 is 4250252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4499 + ... + 22898.

Almost surely, 2^252052400 is an apocalyptic number.

252052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252052400 is an abundant number, since it is smaller than the sum of its proper divisors (379855072).

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

252052400 is a wasteful number, since it uses less digits than its factorization.

252052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27438 (or 27427 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 252052400 is about 15876.1582254650. The cubic root of 252052400 is about 631.6797367901.

The spelling of 252052400 in words is "two hundred fifty-two million, fifty-two thousand, four hundred".