252417200 has 60 divisors (see below), whose sum is σ = 693073200. Its totient is φ = 86542080.

The previous prime is 252417133. The next prime is 252417211. The reversal of 252417200 is 2714252.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42275 + ... + 47874.

It is an arithmetic number, because the mean of its divisors is an integer number (11551220).

Almost surely, 2^252417200 is an apocalyptic number.

252417200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252417200 is an abundant number, since it is smaller than the sum of its proper divisors (440656000).

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

252417200 is a wasteful number, since it uses less digits than its factorization.

252417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90174 (or 90163 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 252417200 is about 15887.6429969961. The cubic root of 252417200 is about 631.9843370577.

The spelling of 252417200 in words is "two hundred fifty-two million, four hundred seventeen thousand, two hundred".