257441408 has 64 divisors (see below), whose sum is σ = 593721600. Its totient is φ = 108905472.

The previous prime is 257441383. The next prime is 257441477. The reversal of 257441408 is 804144752.

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

It is a congruent number.

It is an unprimeable number.

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, 68966 + ... + 72602.

It is an arithmetic number, because the mean of its divisors is an integer number (9276900).

Almost surely, 2^257441408 is an apocalyptic number.

257441408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296860800).

257441408 is an abundant number, since it is smaller than the sum of its proper divisors (336280192).

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

257441408 is an equidigital number, since it uses as much as digits as its factorization.

257441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 257441408 is about 16044.9807728149. The cubic root of 257441408 is about 636.1499059904.

The spelling of 257441408 in words is "two hundred fifty-seven million, four hundred forty-one thousand, four hundred eight".