252431200 has 72 divisors (see below), whose sum is σ = 704298672. Its totient is φ = 86545920.

The previous prime is 252431191. The next prime is 252431203. The reversal of 252431200 is 2134252.

252431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252431203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16939 + ... + 28138.

It is an arithmetic number, because the mean of its divisors is an integer number (9781926).

Almost surely, 2^252431200 is an apocalyptic number.

252431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252431200 is an abundant number, since it is smaller than the sum of its proper divisors (451867472).

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

252431200 is a wasteful number, since it uses less digits than its factorization.

252431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45104 (or 45091 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252431200 is about 15888.0835848758. The cubic root of 252431200 is about 631.9960209118.

Adding to 252431200 its reverse (2134252), we get a palindrome (254565452).

The spelling of 252431200 in words is "two hundred fifty-two million, four hundred thirty-one thousand, two hundred".