255264 has 24 divisors (see below), whose sum is σ = 670320. Its totient is φ = 85056.

The previous prime is 255259. The next prime is 255313. The reversal of 255264 is 462552.

255264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1234 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2²⁵⁵²⁶⁴ is an apocalyptic number.

255264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255264 is an abundant number, since it is smaller than the sum of its proper divisors (415056).

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

255264 is a wasteful number, since it uses less digits than its factorization.

255264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 255264 is about 505.2365782482. The cubic root of 255264 is about 63.4351332968.

The spelling of 255264 in words is "two hundred fifty-five thousand, two hundred sixty-four".