252164960 has 96 divisors (see below), whose sum is σ = 633679200. Its totient is φ = 94556160.

The previous prime is 252164959. The next prime is 252164981. The reversal of 252164960 is 69461252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252164960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330980 + ... + 331740.

It is an arithmetic number, because the mean of its divisors is an integer number (6600825).

Almost surely, 2^252164960 is an apocalyptic number.

252164960 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 252164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316839600).

252164960 is an abundant number, since it is smaller than the sum of its proper divisors (381514240).

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

252164960 is a wasteful number, since it uses less digits than its factorization.

252164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 252164960 is about 15879.7027679992. The cubic root of 252164960 is about 631.7737533381.

The spelling of 252164960 in words is "two hundred fifty-two million, one hundred sixty-four thousand, nine hundred sixty".