257646345 has 32 divisors (see below), whose sum is σ = 469269504. Its totient is φ = 119486400.

The previous prime is 257646343. The next prime is 257646349. The reversal of 257646345 is 543646752.

It is not a de Polignac number, because 257646345 - 2¹ = 257646343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257646297 and 257646306.

It is not an unprimeable number, because it can be changed into a prime (257646341) 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 31 ways as a sum of consecutive naturals, for example, 30151 + ... + 37740.

It is an arithmetic number, because the mean of its divisors is an integer number (14664672).

Almost surely, 2^257646345 is an apocalyptic number.

It is an amenable number.

257646345 is a deficient number, since it is larger than the sum of its proper divisors (211623159).

257646345 is a wasteful number, since it uses less digits than its factorization.

257646345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67933.

The product of its digits is 604800, while the sum is 42.

The square root of 257646345 is about 16051.3658297355. The cubic root of 257646345 is about 636.3186642276.

The spelling of 257646345 in words is "two hundred fifty-seven million, six hundred forty-six thousand, three hundred forty-five".