257980 has 12 divisors (see below), whose sum is σ = 541800. Its totient is φ = 103184.

The previous prime is 257953. The next prime is 257981. The reversal of 257980 is 89752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6430 + ... + 6469.

It is an arithmetic number, because the mean of its divisors is an integer number (45150).

2²⁵⁷⁹⁸⁰ is an apocalyptic number.

257980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257980 is an abundant number, since it is smaller than the sum of its proper divisors (283820).

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

257980 is a wasteful number, since it uses less digits than its factorization.

257980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12908 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 257980 is about 507.9173161057. The cubic root of 257980 is about 63.6593225754.

The spelling of 257980 in words is "two hundred fifty-seven thousand, nine hundred eighty".