257949696 has 88 divisors (see below), whose sum is σ = 704642904. Its totient is φ = 83886080.

The previous prime is 257949691. The next prime is 257949697. The reversal of 257949696 is 696949752.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257949691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6291436 + ... + 6291476.

Almost surely, 2^257949696 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 257949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352321452).

257949696 is an abundant number, since it is smaller than the sum of its proper divisors (446693208).

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

257949696 is an frugal number, since it uses more digits than its factorization.

257949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

The square root of 257949696 is about 16060.8124327507. The cubic root of 257949696 is about 636.5682986584.

The spelling of 257949696 in words is "two hundred fifty-seven million, nine hundred forty-nine thousand, six hundred ninety-six".