257872896 has 110 divisors (see below), whose sum is σ = 770306570. Its totient is φ = 85929984.

The previous prime is 257872891. The next prime is 257872907. The reversal of 257872896 is 698278752.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 183223296 + 74649600 = 13536^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257872891) 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 9 ways as a sum of consecutive naturals, for example, 81390 + ... + 84498.

It is an arithmetic number, because the mean of its divisors is an integer number (7002787).

Almost surely, 2^257872896 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 257872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385153285).

257872896 is an abundant number, since it is smaller than the sum of its proper divisors (512433674).

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

257872896 is an equidigital number, since it uses as much as digits as its factorization.

257872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3114 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 257872896 is about 16058.4213420871. The cubic root of 257872896 is about 636.5051167037.

The spelling of 257872896 in words is "two hundred fifty-seven million, eight hundred seventy-two thousand, eight hundred ninety-six".