257504416 has 48 divisors (see below), whose sum is σ = 574711200. Its totient is φ = 112589568.

The previous prime is 257504407. The next prime is 257504417. The reversal of 257504416 is 614405752.

It is not an unprimeable number, because it can be changed into a prime (257504417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8386 + ... + 24193.

It is an arithmetic number, because the mean of its divisors is an integer number (11973150).

Almost surely, 2^257504416 is an apocalyptic number.

257504416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257504416 is an abundant number, since it is smaller than the sum of its proper divisors (317206784).

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

257504416 is a wasteful number, since it uses less digits than its factorization.

257504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32621 (or 32613 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 257504416 is about 16046.9441327625. The cubic root of 257504416 is about 636.2018003405.

The spelling of 257504416 in words is "two hundred fifty-seven million, five hundred four thousand, four hundred sixteen".