257256 has 40 divisors (see below), whose sum is σ = 722370. Its totient is φ = 85536.

The previous prime is 257249. The next prime is 257263. The reversal of 257256 is 652752.

It is an interprime number because it is at equal distance from previous prime (257249) and next prime (257263).

It can be written as a sum of positive squares in only one way, i.e., 202500 + 54756 = 450^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257256.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 450 + ... + 846.

2²⁵⁷²⁵⁶ 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 257256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361185).

257256 is an abundant number, since it is smaller than the sum of its proper divisors (465114).

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

257256 is a wasteful number, since it uses less digits than its factorization.

257256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 257256 is about 507.2041009298. The cubic root of 257256 is about 63.5997151999.

It can be divided in two parts, 2572 and 56, that added together give a triangular number (2628 = T₇₂).

The spelling of 257256 in words is "two hundred fifty-seven thousand, two hundred fifty-six".