252568320 has 288 divisors, whose sum is σ = 882124992. Its totient is φ = 61341696.

The previous prime is 252568319. The next prime is 252568331. The reversal of 252568320 is 23865252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459804 + ... + 3459876.

It is an arithmetic number, because the mean of its divisors is an integer number (3062934).

Almost surely, 2^252568320 is an apocalyptic number.

252568320 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 252568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441062496).

252568320 is an abundant number, since it is smaller than the sum of its proper divisors (629556672).

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

252568320 is a wasteful number, since it uses less digits than its factorization.

252568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 252568320 is about 15892.3981827791. The cubic root of 252568320 is about 632.1104330870.

The spelling of 252568320 in words is "two hundred fifty-two million, five hundred sixty-eight thousand, three hundred twenty".