257440680 has 160 divisors (see below), whose sum is σ = 988986240. Its totient is φ = 58838400.

The previous prime is 257440643. The next prime is 257440691. The reversal of 257440680 is 86044752.

257440680 is a `hidden beast` number, since 2 + 574 + 4 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17005 + ... + 28355.

It is an arithmetic number, because the mean of its divisors is an integer number (6181164).

Almost surely, 2^257440680 is an apocalyptic number.

257440680 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 257440680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494493120).

257440680 is an abundant number, since it is smaller than the sum of its proper divisors (731545560).

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

257440680 is a wasteful number, since it uses less digits than its factorization.

257440680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 257440680 is about 16044.9580865766. The cubic root of 257440680 is about 636.1493063490.

The spelling of 257440680 in words is "two hundred fifty-seven million, four hundred forty thousand, six hundred eighty".