257540 has 24 divisors (see below), whose sum is σ = 551040. Its totient is φ = 101088.

The previous prime is 257539. The next prime is 257561. The reversal of 257540 is 45752.

257540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257540.

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, 1499 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

2²⁵⁷⁵⁴⁰ is an apocalyptic number.

257540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257540 is an abundant number, since it is smaller than the sum of its proper divisors (293500).

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

257540 is a wasteful number, since it uses less digits than its factorization.

257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 257540 is about 507.4839898952. The cubic root of 257540 is about 63.6231104126.

It can be divided in two parts, 257 and 540, that added together give a palindrome (797).

The spelling of 257540 in words is "two hundred fifty-seven thousand, five hundred forty".