252570800 has 120 divisors (see below), whose sum is σ = 645792000. Its totient is φ = 94659840.

The previous prime is 252570761. The next prime is 252570833. The reversal of 252570800 is 8075252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269101 + ... + 1269299.

It is an arithmetic number, because the mean of its divisors is an integer number (5381600).

Almost surely, 2^252570800 is an apocalyptic number.

252570800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322896000).

252570800 is an abundant number, since it is smaller than the sum of its proper divisors (393221200).

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

252570800 is a wasteful number, since it uses less digits than its factorization.

252570800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 252570800 is about 15892.4762073127. The cubic root of 252570800 is about 632.1125020041.

The spelling of 252570800 in words is "two hundred fifty-two million, five hundred seventy thousand, eight hundred".