257484269 has 32 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 213373440.

The previous prime is 257484259. The next prime is 257484281. The reversal of 257484269 is 962484752.

It is not a de Polignac number, because 257484269 - 2²⁰ = 256435693 is a prime.

It is a super-2 number, since 2×257484269² = 132596297564928722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257484259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2362187 + ... + 2362295.

It is an arithmetic number, because the mean of its divisors is an integer number (9702000).

Almost surely, 2^257484269 is an apocalyptic number.

It is an amenable number.

257484269 is a deficient number, since it is larger than the sum of its proper divisors (52979731).

257484269 is an equidigital number, since it uses as much as digits as its factorization.

257484269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 257484269 is about 16046.3163685626. The cubic root of 257484269 is about 636.1852078846.

The spelling of 257484269 in words is "two hundred fifty-seven million, four hundred eighty-four thousand, two hundred sixty-nine".