257504 has 24 divisors (see below), whose sum is σ = 546840. Its totient is φ = 118656.

The previous prime is 257503. The next prime is 257519. The reversal of 257504 is 405752.

It is a self number, because there is not a number n which added to its sum of digits gives 257504.

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 257504.

It is not an unprimeable number, because it can be changed into a prime (257501) 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, 107 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2²⁵⁷⁵⁰⁴ 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 257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

257504 is an abundant number, since it is smaller than the sum of its proper divisors (289336).

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

257504 is a wasteful number, since it uses less digits than its factorization.

257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 257504 is about 507.4485195564. The cubic root of 257504 is about 63.6201457744.

The spelling of 257504 in words is "two hundred fifty-seven thousand, five hundred four".