257644464 has 80 divisors (see below), whose sum is σ = 829827840. Its totient is φ = 66919680.

The previous prime is 257644447. The next prime is 257644477. The reversal of 257644464 is 464446752.

It is a super-3 number, since 3×257644464³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 31159 + ... + 38550.

It is an arithmetic number, because the mean of its divisors is an integer number (10372848).

Almost surely, 2^257644464 is an apocalyptic number.

257644464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257644464 is an abundant number, since it is smaller than the sum of its proper divisors (572183376).

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

257644464 is a wasteful number, since it uses less digits than its factorization.

257644464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69738 (or 69732 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 257644464 is about 16051.3072364839. The cubic root of 257644464 is about 636.3171156988.

The spelling of 257644464 in words is "two hundred fifty-seven million, six hundred forty-four thousand, four hundred sixty-four".