257852680 has 32 divisors (see below), whose sum is σ = 580976640. Its totient is φ = 102997440.

The previous prime is 257852627. The next prime is 257852687. The reversal of 257852680 is 86258752.

It is not an unprimeable number, because it can be changed into a prime (257852687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27385 + ... + 35575.

It is an arithmetic number, because the mean of its divisors is an integer number (18155520).

Almost surely, 2^257852680 is an apocalyptic number.

257852680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257852680 is an abundant number, since it is smaller than the sum of its proper divisors (323123960).

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

257852680 is a wasteful number, since it uses less digits than its factorization.

257852680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 257852680 is about 16057.7918780883. The cubic root of 257852680 is about 636.4884832848.

The spelling of 257852680 in words is "two hundred fifty-seven million, eight hundred fifty-two thousand, six hundred eighty".