257404 has 24 divisors (see below), whose sum is σ = 534240. Its totient is φ = 106176.

The previous prime is 257401. The next prime is 257407. The reversal of 257404 is 404752.

It is an interprime number because it is at equal distance from previous prime (257401) and next prime (257407).

It is a pancake number, because a pancake can be divided into 257404 parts by 717 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2²⁵⁷⁴⁰⁴ 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 257404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267120).

257404 is an abundant number, since it is smaller than the sum of its proper divisors (276836).

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

257404 is a wasteful number, since it uses less digits than its factorization.

257404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 257404 is about 507.3499778260. The cubic root of 257404 is about 63.6119092185.

The spelling of 257404 in words is "two hundred fifty-seven thousand, four hundred four".