252580200 has 48 divisors (see below), whose sum is σ = 783000480. Its totient is φ = 67354560.

The previous prime is 252580189. The next prime is 252580231. The reversal of 252580200 is 2085252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209884 + ... + 211083.

It is an arithmetic number, because the mean of its divisors is an integer number (16312510).

Almost surely, 2^252580200 is an apocalyptic number.

252580200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252580200 is an abundant number, since it is smaller than the sum of its proper divisors (530420280).

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

252580200 is a wasteful number, since it uses less digits than its factorization.

252580200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420986 (or 420977 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 252580200 is about 15892.7719419867. The cubic root of 252580200 is about 632.1203437443.

The spelling of 252580200 in words is "two hundred fifty-two million, five hundred eighty thousand, two hundred".