257582640 has 320 divisors, whose sum is σ = 1002792960. Its totient is φ = 53329920.

The previous prime is 257582629. The next prime is 257582651. The reversal of 257582640 is 46285752.

257582640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257582629) and next prime (257582651).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828085 + ... + 828395.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^257582640 is an apocalyptic number.

257582640 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 257582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501396480).

257582640 is an abundant number, since it is smaller than the sum of its proper divisors (745210320).

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

257582640 is a wasteful number, since it uses less digits than its factorization.

257582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 257582640 is about 16049.3812964862. The cubic root of 257582640 is about 636.2662150432.

The spelling of 257582640 in words is "two hundred fifty-seven million, five hundred eighty-two thousand, six hundred forty".