257704769 has 12 divisors (see below), whose sum is σ = 300040704. Its totient is φ = 220697064.

The previous prime is 257704763. The next prime is 257704781. The reversal of 257704769 is 967407752.

It is not a de Polignac number, because 257704769 - 2²⁰ = 256656193 is a prime.

It is a super-2 number, since 2×257704769² = 132823495930686722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257704763) 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 11 ways as a sum of consecutive naturals, for example, 106952 + ... + 109334.

It is an arithmetic number, because the mean of its divisors is an integer number (25003392).

Almost surely, 2^257704769 is an apocalyptic number.

It is an amenable number.

257704769 is a deficient number, since it is larger than the sum of its proper divisors (42335935).

257704769 is a wasteful number, since it uses less digits than its factorization.

257704769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 257704769 is about 16053.1856340105. The cubic root of 257704769 is about 636.3667578938.

The spelling of 257704769 in words is "two hundred fifty-seven million, seven hundred four thousand, seven hundred sixty-nine".