257679840 has 192 divisors, whose sum is σ = 910103040. Its totient is φ = 60733440.

The previous prime is 257679809. The next prime is 257679857. The reversal of 257679840 is 48976752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 257679840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194701 + ... + 196019.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^257679840 is an apocalyptic number.

257679840 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 257679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

257679840 is an abundant number, since it is smaller than the sum of its proper divisors (652423200).

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

257679840 is a wasteful number, since it uses less digits than its factorization.

257679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 257679840 is about 16052.4091649821. The cubic root of 257679840 is about 636.3462376443.

The spelling of 257679840 in words is "two hundred fifty-seven million, six hundred seventy-nine thousand, eight hundred forty".