257020 has 24 divisors (see below), whose sum is σ = 550368. Its totient is φ = 100800.

The previous prime is 257017. The next prime is 257053. The reversal of 257020 is 20752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 256985 and 257003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330 + ... + 1510.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2²⁵⁷⁰²⁰ is an apocalyptic number.

257020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257020 is an abundant number, since it is smaller than the sum of its proper divisors (293348).

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

257020 is a wasteful number, since it uses less digits than its factorization.

257020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 257020 is about 506.9713995878. The cubic root of 257020 is about 63.5802610052.

Adding to 257020 its reverse (20752), we get a palindrome (277772).

The spelling of 257020 in words is "two hundred fifty-seven thousand, twenty".