257638880 has 96 divisors (see below), whose sum is σ = 624607200. Its totient is φ = 100403200.

The previous prime is 257638877. The next prime is 257638903. The reversal of 257638880 is 88836752.

257638880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729046 + ... + 1729194.

It is an arithmetic number, because the mean of its divisors is an integer number (6506325).

Almost surely, 2^257638880 is an apocalyptic number.

257638880 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 257638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312303600).

257638880 is an abundant number, since it is smaller than the sum of its proper divisors (366968320).

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

257638880 is a wasteful number, since it uses less digits than its factorization.

257638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 257638880 is about 16051.1332933223. The cubic root of 257638880 is about 636.3125186398.

It can be divided in two parts, 25763 and 8880, that added together give a palindrome (34643).

The spelling of 257638880 in words is "two hundred fifty-seven million, six hundred thirty-eight thousand, eight hundred eighty".