257832880 has 40 divisors (see below), whose sum is σ = 634727232. Its totient is φ = 97065984.

The previous prime is 257832857. The next prime is 257832889. The reversal of 257832880 is 88238752.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (257832889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93432 + ... + 96151.

Almost surely, 2^257832880 is an apocalyptic number.

257832880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257832880 is an abundant number, since it is smaller than the sum of its proper divisors (376894352).

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

257832880 is a wasteful number, since it uses less digits than its factorization.

257832880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189613 (or 189607 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 257832880 is about 16057.1753431293. The cubic root of 257832880 is about 636.4721913016.

The spelling of 257832880 in words is "two hundred fifty-seven million, eight hundred thirty-two thousand, eight hundred eighty".