257260 has 24 divisors (see below), whose sum is σ = 569520. Its totient is φ = 97344.

The previous prime is 257249. The next prime is 257263. The reversal of 257260 is 62752.

It is not an unprimeable number, because it can be changed into a prime (257263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (23730).

2²⁵⁷²⁶⁰ is an apocalyptic number.

257260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284760).

257260 is an abundant number, since it is smaller than the sum of its proper divisors (312260).

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

257260 is a wasteful number, since it uses less digits than its factorization.

257260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 257260 is about 507.2080441002. The cubic root of 257260 is about 63.6000448294.

The spelling of 257260 in words is "two hundred fifty-seven thousand, two hundred sixty".