252055200 has 72 divisors (see below), whose sum is σ = 820447488. Its totient is φ = 67214080.

The previous prime is 252055189. The next prime is 252055217. The reversal of 252055200 is 2550252.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 50112 + ... + 54911.

It is an arithmetic number, because the mean of its divisors is an integer number (11395104).

Almost surely, 2^252055200 is an apocalyptic number.

252055200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252055200 is an abundant number, since it is smaller than the sum of its proper divisors (568392288).

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

252055200 is a wasteful number, since it uses less digits than its factorization.

252055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105046 (or 105033 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 252055200 is about 15876.2464077628. The cubic root of 252055200 is about 631.6820758496.

The spelling of 252055200 in words is "two hundred fifty-two million, fifty-five thousand, two hundred".