257960 has 16 divisors (see below), whose sum is σ = 580500. Its totient is φ = 103168.

The previous prime is 257953. The next prime is 257981. The reversal of 257960 is 69752.

257960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 13924 = 494^2 + 118^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is an unprimeable number.

257960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3185 + ... + 3264.

2²⁵⁷⁹⁶⁰ is an apocalyptic number.

257960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257960 is an abundant number, since it is smaller than the sum of its proper divisors (322540).

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

257960 is a wasteful number, since it uses less digits than its factorization.

257960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 257960 is about 507.8976274802. The cubic root of 257960 is about 63.6576774616.

The spelling of 257960 in words is "two hundred fifty-seven thousand, nine hundred sixty".