257668769 has 8 divisors (see below), whose sum is σ = 262026912. Its totient is φ = 253340640.

The previous prime is 257668759. The next prime is 257668781. The reversal of 257668769 is 967866752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257668769 - 2¹⁶ = 257603233 is a prime.

It is a super-2 number, since 2×257668769² = 132786389035950722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257668729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10157 + ... + 24869.

It is an arithmetic number, because the mean of its divisors is an integer number (32753364).

Almost surely, 2^257668769 is an apocalyptic number.

It is an amenable number.

257668769 is a deficient number, since it is larger than the sum of its proper divisors (4358143).

257668769 is a wasteful number, since it uses less digits than its factorization.

257668769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007.

The product of its digits is 7620480, while the sum is 56.

The square root of 257668769 is about 16052.0643220740. The cubic root of 257668769 is about 636.3371241515.

The spelling of 257668769 in words is "two hundred fifty-seven million, six hundred sixty-eight thousand, seven hundred sixty-nine".