252360 has 48 divisors (see below), whose sum is σ = 821340. Its totient is φ = 67200.

The previous prime is 252359. The next prime is 252383. The reversal of 252360 is 63252.

252360 = T₃₆ + T₃₇ + ... + T₁₁₅.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 4356 = 498^2 + 66^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 710.

2²⁵²³⁶⁰ is an apocalyptic number.

252360 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 252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410670).

252360 is an abundant number, since it is smaller than the sum of its proper divisors (568980).

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

252360 is a wasteful number, since it uses less digits than its factorization.

252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 252360 is about 502.3544565344. The cubic root of 252360 is about 63.1936595680.

The spelling of 252360 in words is "two hundred fifty-two thousand, three hundred sixty".