257320440 has 96 divisors (see below), whose sum is σ = 900637920. Its totient is φ = 63339264.

The previous prime is 257320433. The next prime is 257320463. The reversal of 257320440 is 44023752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22812 + ... + 32171.

It is an arithmetic number, because the mean of its divisors is an integer number (9381645).

Almost surely, 2^257320440 is an apocalyptic number.

257320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257320440 is an abundant number, since it is smaller than the sum of its proper divisors (643317480).

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

257320440 is a wasteful number, since it uses less digits than its factorization.

257320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55013 (or 55006 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 257320440 is about 16041.2106775019. The cubic root of 257320440 is about 636.0502511618.

The spelling of 257320440 in words is "two hundred fifty-seven million, three hundred twenty thousand, four hundred forty".