252017160 has 128 divisors (see below), whose sum is σ = 781522560. Its totient is φ = 64972800.

The previous prime is 252017153. The next prime is 252017167. The reversal of 252017160 is 61710252.

It is an interprime number because it is at equal distance from previous prime (252017153) and next prime (252017167).

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 252017160.

It is not an unprimeable number, because it can be changed into a prime (252017167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890379 + ... + 890661.

It is an arithmetic number, because the mean of its divisors is an integer number (6105645).

Almost surely, 2^252017160 is an apocalyptic number.

252017160 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 252017160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390761280).

252017160 is an abundant number, since it is smaller than the sum of its proper divisors (529505400).

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

252017160 is a wasteful number, since it uses less digits than its factorization.

252017160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 252017160 is about 15875.0483463831. The cubic root of 252017160 is about 631.6502965739.

The spelling of 252017160 in words is "two hundred fifty-two million, seventeen thousand, one hundred sixty".