257681880 has 96 divisors (see below), whose sum is σ = 873905760. Its totient is φ = 65725440.

The previous prime is 257681867. The next prime is 257681899. The reversal of 257681880 is 88186752.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7281 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^257681880 is an apocalyptic number.

257681880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257681880 is an abundant number, since it is smaller than the sum of its proper divisors (616223880).

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

257681880 is a wasteful number, since it uses less digits than its factorization.

257681880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31161 (or 31154 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 257681880 is about 16052.4727067203. The cubic root of 257681880 is about 636.3479169154.

The spelling of 257681880 in words is "two hundred fifty-seven million, six hundred eighty-one thousand, eight hundred eighty".