257441344 has 56 divisors (see below), whose sum is σ = 527283680. Its totient is φ = 124637184.

The previous prime is 257441293. The next prime is 257441347. The reversal of 257441344 is 443144752.

It is not an unprimeable number, because it can be changed into a prime (257441347) 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 7 ways as a sum of consecutive naturals, for example, 382192 + ... + 382864.

It is an arithmetic number, because the mean of its divisors is an integer number (9415780).

Almost surely, 2^257441344 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 257441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263641840).

257441344 is an abundant number, since it is smaller than the sum of its proper divisors (269842336).

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

257441344 is a wasteful number, since it uses less digits than its factorization.

257441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 257441344 is about 16044.9787784216. The cubic root of 257441344 is about 636.1498532747.

The spelling of 257441344 in words is "two hundred fifty-seven million, four hundred forty-one thousand, three hundred forty-four".