257538688 has 64 divisors (see below), whose sum is σ = 565561440. Its totient is φ = 115840000.

The previous prime is 257538679. The next prime is 257538689. The reversal of 257538688 is 886835752.

257538688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×257538688² = 132652351633522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257538689) 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, 141303 + ... + 143113.

Almost surely, 2^257538688 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 257538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282780720).

257538688 is an abundant number, since it is smaller than the sum of its proper divisors (308022752).

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

257538688 is a wasteful number, since it uses less digits than its factorization.

257538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 52.

The square root of 257538688 is about 16048.0119641032. The cubic root of 257538688 is about 636.2300237281.

The spelling of 257538688 in words is "two hundred fifty-seven million, five hundred thirty-eight thousand, six hundred eighty-eight".