257870080 has 72 divisors (see below), whose sum is σ = 665236152. Its totient is φ = 95207424.

The previous prime is 257870029. The next prime is 257870111. The reversal of 257870080 is 80078752.

It can be written as a sum of positive squares in 4 ways, for example, as 44943616 + 212926464 = 6704^2 + 14592^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 8892 + ... + 24388.

It is an arithmetic number, because the mean of its divisors is an integer number (9239391).

Almost surely, 2^257870080 is an apocalyptic number.

257870080 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 257870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332618076).

257870080 is an abundant number, since it is smaller than the sum of its proper divisors (407366072).

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

257870080 is a wasteful number, since it uses less digits than its factorization.

257870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15531 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 257870080 is about 16058.3336619962. Note that the first 3 decimals coincide. The cubic root of 257870080 is about 636.5027997936.

The spelling of 257870080 in words is "two hundred fifty-seven million, eight hundred seventy thousand, eighty".