257231664 has 30 divisors (see below), whose sum is σ = 719891796. Its totient is φ = 85743840.

The previous prime is 257231647. The next prime is 257231687. The reversal of 257231664 is 466132752.

257231664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 5 ways as a sum of consecutive naturals, for example, 893022 + ... + 893309.

Almost surely, 2^257231664 is an apocalyptic number.

257231664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257231664 is an abundant number, since it is smaller than the sum of its proper divisors (462660132).

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

257231664 is a wasteful number, since it uses less digits than its factorization.

257231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786345 (or 1786336 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 257231664 is about 16038.4433159830. The cubic root of 257231664 is about 635.9770966002.

The spelling of 257231664 in words is "two hundred fifty-seven million, two hundred thirty-one thousand, six hundred sixty-four".