257434675 has 24 divisors (see below), whose sum is σ = 323791776. Its totient is φ = 203024640.

The previous prime is 257434669. The next prime is 257434687. The reversal of 257434675 is 576434752.

It is not a de Polignac number, because 257434675 - 2¹³ = 257426483 is a prime.

It is a super-2 number, since 2×257434675² = 132545223784711250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 822319 + ... + 822631.

It is an arithmetic number, because the mean of its divisors is an integer number (13491324).

Almost surely, 2^257434675 is an apocalyptic number.

257434675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257434675 is a deficient number, since it is larger than the sum of its proper divisors (66357101).

257434675 is a wasteful number, since it uses less digits than its factorization.

257434675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 682 counting only the distinct ones).

The product of its digits is 705600, while the sum is 43.

The square root of 257434675 is about 16044.7709550495. The cubic root of 257434675 is about 636.1443600881.

It can be divided in two parts, 2574 and 34675, that added together give a square (37249 = 193²).

The spelling of 257434675 in words is "two hundred fifty-seven million, four hundred thirty-four thousand, six hundred seventy-five".