252058560 has 224 divisors, whose sum is σ = 908060160. Its totient is φ = 58724352.

The previous prime is 252058553. The next prime is 252058577. The reversal of 252058560 is 65850252.

It is a congruent number.

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, 236589 + ... + 237651.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2^252058560 is an apocalyptic number.

252058560 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 252058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454030080).

252058560 is an abundant number, since it is smaller than the sum of its proper divisors (656001600).

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

252058560 is a wasteful number, since it uses less digits than its factorization.

252058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 252058560 is about 15876.3522258735. The cubic root of 252058560 is about 631.6848826982.

The spelling of 252058560 in words is "two hundred fifty-two million, fifty-eight thousand, five hundred sixty".