252864 has 42 divisors (see below), whose sum is σ = 726440. Its totient is φ = 84096.

The previous prime is 252829. The next prime is 252869. The reversal of 252864 is 468252.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252864.

It is not an unprimeable number, because it can be changed into a prime (252869) by changing a digit.

252864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357 + ... + 795.

2²⁵²⁸⁶⁴ is an apocalyptic number.

252864 is a gapful number since it is divisible by the number (24) 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 252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363220).

252864 is an abundant number, since it is smaller than the sum of its proper divisors (473576).

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

252864 is a wasteful number, since it uses less digits than its factorization.

252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 252864 is about 502.8558441542. The cubic root of 252864 is about 63.2357006008.

The spelling of 252864 in words is "two hundred fifty-two thousand, eight hundred sixty-four".