252260160 has 112 divisors (see below), whose sum is σ = 812426112. Its totient is φ = 66304000.

The previous prime is 252260137. The next prime is 252260179. The reversal of 252260160 is 61062252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252260160.

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, 66310 + ... + 70010.

Almost surely, 2^252260160 is an apocalyptic number.

252260160 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 252260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406213056).

252260160 is an abundant number, since it is smaller than the sum of its proper divisors (560165952).

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

252260160 is a wasteful number, since it uses less digits than its factorization.

252260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 252260160 is about 15882.7000223514. The cubic root of 252260160 is about 631.8532479859.

The spelling of 252260160 in words is "two hundred fifty-two million, two hundred sixty thousand, one hundred sixty".