257264 has 20 divisors (see below), whose sum is σ = 569904. Its totient is φ = 110208.

The previous prime is 257263. The next prime is 257273. The reversal of 257264 is 462752.

257264 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257264.

It is not an unprimeable number, because it can be changed into a prime (257263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1037 + ... + 1260.

2²⁵⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

257264 is an abundant number, since it is smaller than the sum of its proper divisors (312640).

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

257264 is a wasteful number, since it uses less digits than its factorization.

257264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 257264 is about 507.2119872400. The cubic root of 257264 is about 63.6003744556.

The spelling of 257264 in words is "two hundred fifty-seven thousand, two hundred sixty-four".