252942200 has 96 divisors (see below), whose sum is σ = 680908800. Its totient is φ = 85587840.

The previous prime is 252942199. The next prime is 252942233. The reversal of 252942200 is 2249252.

It is a self number, because there is not a number n which added to its sum of digits gives 252942200.

It is a congruent number.

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, 109457 + ... + 111743.

It is an arithmetic number, because the mean of its divisors is an integer number (7092800).

Almost surely, 2^252942200 is an apocalyptic number.

252942200 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 252942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340454400).

252942200 is an abundant number, since it is smaller than the sum of its proper divisors (427966600).

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

252942200 is a wasteful number, since it uses less digits than its factorization.

252942200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 252942200 is about 15904.1566893690. The cubic root of 252942200 is about 632.4221862643.

The spelling of 252942200 in words is "two hundred fifty-two million, nine hundred forty-two thousand, two hundred".