257685344 has 48 divisors (see below), whose sum is σ = 582025248. Its totient is φ = 110011392.

The previous prime is 257685317. The next prime is 257685347. The reversal of 257685344 is 443586752.

It is a junction number, because it is equal to n+sod(n) for n = 257685295 and 257685304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257685347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59972 + ... + 64124.

It is an arithmetic number, because the mean of its divisors is an integer number (12125526).

Almost surely, 2^257685344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257685344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291012624).

257685344 is an abundant number, since it is smaller than the sum of its proper divisors (324339904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257685344 is a wasteful number, since it uses less digits than its factorization.

257685344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 257685344 is about 16052.5806025075. The cubic root of 257685344 is about 636.3507683632.

The spelling of 257685344 in words is "two hundred fifty-seven million, six hundred eighty-five thousand, three hundred forty-four".