252320160 has 144 divisors (see below), whose sum is σ = 822775968. Its totient is φ = 64995840.

The previous prime is 252320149. The next prime is 252320179. The reversal of 252320160 is 61023252.

252320160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461007 + ... + 461553.

It is an arithmetic number, because the mean of its divisors is an integer number (5713722).

Almost surely, 2^252320160 is an apocalyptic number.

252320160 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 252320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411387984).

252320160 is an abundant number, since it is smaller than the sum of its proper divisors (570455808).

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

252320160 is a wasteful number, since it uses less digits than its factorization.

252320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 252320160 is about 15884.5887576607. The cubic root of 252320160 is about 631.9033393804.

The spelling of 252320160 in words is "two hundred fifty-two million, three hundred twenty thousand, one hundred sixty".