257900 has 18 divisors (see below), whose sum is σ = 559860. Its totient is φ = 103120.

The previous prime is 257893. The next prime is 257903. The reversal of 257900 is 9752.

It is not an unprimeable number, because it can be changed into a prime (257903) by changing a digit.

257900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1190 + ... + 1389.

2²⁵⁷⁹⁰⁰ is an apocalyptic number.

257900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257900 is an abundant number, since it is smaller than the sum of its proper divisors (301960).

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

257900 is a wasteful number, since it uses less digits than its factorization.

257900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 257900 is about 507.8385570238. The cubic root of 257900 is about 63.6527416101.

The spelling of 257900 in words is "two hundred fifty-seven thousand, nine hundred".