257268 has 24 divisors (see below), whose sum is σ = 655200. Its totient is φ = 77920.

The previous prime is 257263. The next prime is 257273. The reversal of 257268 is 862752.

It is an interprime number because it is at equal distance from previous prime (257263) and next prime (257273).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

257268 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 7 ways as a sum of consecutive naturals, for example, 843 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2²⁵⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

257268 is an abundant number, since it is smaller than the sum of its proper divisors (397932).

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

257268 is a wasteful number, since it uses less digits than its factorization.

257268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1965 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 257268 is about 507.2159303492. The cubic root of 257268 is about 63.6007040783.

It can be divided in two parts, 257 and 268, that added together give a palindrome (525).

The spelling of 257268 in words is "two hundred fifty-seven thousand, two hundred sixty-eight".