257440080 has 160 divisors (see below), whose sum is σ = 836625024. Its totient is φ = 65415168.

The previous prime is 257440039. The next prime is 257440109. The reversal of 257440080 is 80044752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 470367 + ... + 470913.

Almost surely, 2^257440080 is an apocalyptic number.

257440080 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 257440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418312512).

257440080 is an abundant number, since it is smaller than the sum of its proper divisors (579184944).

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

257440080 is a wasteful number, since it uses less digits than its factorization.

257440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 257440080 is about 16044.9393891033. The cubic root of 257440080 is about 636.1488121382.

The spelling of 257440080 in words is "two hundred fifty-seven million, four hundred forty thousand, eighty".