257364 has 24 divisors (see below), whose sum is σ = 667520. Its totient is φ = 85752.

The previous prime is 257353. The next prime is 257371. The reversal of 257364 is 463752.

It is a happy number.

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

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 257364.

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 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1299.

2²⁵⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

257364 is an abundant number, since it is smaller than the sum of its proper divisors (410156).

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

257364 is a wasteful number, since it uses less digits than its factorization.

257364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2388 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 257364 is about 507.3105557743. The cubic root of 257364 is about 63.6086139988.

The spelling of 257364 in words is "two hundred fifty-seven thousand, three hundred sixty-four".