257490 has 24 divisors (see below), whose sum is σ = 669708. Its totient is φ = 68640.

The previous prime is 257489. The next prime is 257497. The reversal of 257490 is 94752.

257490 is a `hidden beast` number, since 2 + 574 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 257049 + 441 = 507^2 + 21^2 .

It is a super-2 number, since 2×257490² = 132602200200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341 + ... + 1520.

2²⁵⁷⁴⁹⁰ is an apocalyptic number.

257490 is an abundant number, since it is smaller than the sum of its proper divisors (412218).

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

257490 is a wasteful number, since it uses less digits than its factorization.

257490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257490 is about 507.4347248662. The cubic root of 257490 is about 63.6189927850.

It can be divided in two parts, 257 and 490, that added together give a palindrome (747).

The spelling of 257490 in words is "two hundred fifty-seven thousand, four hundred ninety".