252768204 has 72 divisors (see below), whose sum is σ = 690976832. Its totient is φ = 77448960.

The previous prime is 252768199. The next prime is 252768221. The reversal of 252768204 is 402867252.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 125832 + ... + 127824.

Almost surely, 2^252768204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252768204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345488416).

252768204 is an abundant number, since it is smaller than the sum of its proper divisors (438208628).

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

252768204 is a wasteful number, since it uses less digits than its factorization.

252768204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252768204 is about 15898.6856060493. The cubic root of 252768204 is about 632.2771410434.

The spelling of 252768204 in words is "two hundred fifty-two million, seven hundred sixty-eight thousand, two hundred four".