257880 has 64 divisors (see below), whose sum is σ = 887040. Its totient is φ = 58752.

The previous prime is 257879. The next prime is 257893. The reversal of 257880 is 88752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2²⁵⁷⁸⁸⁰ is an apocalyptic number.

257880 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 257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

257880 is an abundant number, since it is smaller than the sum of its proper divisors (629160).

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

257880 is a wasteful number, since it uses less digits than its factorization.

257880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 257880 is about 507.8188653447. The cubic root of 257880 is about 63.6510961561.

The spelling of 257880 in words is "two hundred fifty-seven thousand, eight hundred eighty".