257691456 has 140 divisors (see below), whose sum is σ = 833506080. Its totient is φ = 78071040.

The previous prime is 257691451. The next prime is 257691463. The reversal of 257691456 is 654196752.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257691451) 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 19 ways as a sum of consecutive naturals, for example, 54765 + ... + 59283.

Almost surely, 2^257691456 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 257691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416753040).

257691456 is an abundant number, since it is smaller than the sum of its proper divisors (575814624).

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

257691456 is a wasteful number, since it uses less digits than its factorization.

257691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4535 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 257691456 is about 16052.7709757537. The cubic root of 257691456 is about 636.3557994929.

It can be divided in two parts, 25769 and 1456, that added together give a square (27225 = 165²).

The spelling of 257691456 in words is "two hundred fifty-seven million, six hundred ninety-one thousand, four hundred fifty-six".