252888 has 32 divisors (see below), whose sum is σ = 650160. Its totient is φ = 81920.

The previous prime is 252887. The next prime is 252893. The reversal of 252888 is 888252.

252888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 1112.

2²⁵²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325080).

252888 is an abundant number, since it is smaller than the sum of its proper divisors (397272).

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

252888 is a wasteful number, since it uses less digits than its factorization.

252888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 252888 is about 502.8797072859. The cubic root of 252888 is about 63.2377011608.

The spelling of 252888 in words is "two hundred fifty-two thousand, eight hundred eighty-eight".