257887980 has 144 divisors (see below), whose sum is σ = 912475200. Its totient is φ = 58931712.

The previous prime is 257887979. The next prime is 257888003. The reversal of 257887980 is 89788752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59652 + ... + 63828.

Almost surely, 2^257887980 is an apocalyptic number.

257887980 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 257887980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456237600).

257887980 is an abundant number, since it is smaller than the sum of its proper divisors (654587220).

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

257887980 is a wasteful number, since it uses less digits than its factorization.

257887980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 257887980 is about 16058.8909953334. The cubic root of 257887980 is about 636.5175270243.

The spelling of 257887980 in words is "two hundred fifty-seven million, eight hundred eighty-seven thousand, nine hundred eighty".