257441409 has 10 divisors (see below), whose sum is σ = 384573090. Its totient is φ = 171627552.

The previous prime is 257441383. The next prime is 257441477. The reversal of 257441409 is 904144752.

It is a happy number.

257441409 is a `hidden beast` number, since 2 + 574 + 41 + 40 + 9 = 666.

257441409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202977009 + 54464400 = 14247^2 + 7380^2 .

It is not a de Polignac number, because 257441409 - 2⁷ = 257441281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257441809) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1589064 + ... + 1589225.

It is an arithmetic number, because the mean of its divisors is an integer number (38457309).

Almost surely, 2^257441409 is an apocalyptic number.

It is an amenable number.

257441409 is a deficient number, since it is larger than the sum of its proper divisors (127131681).

257441409 is an equidigital number, since it uses as much as digits as its factorization.

257441409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178301 (or 3178292 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257441409 is about 16044.9808039773. The cubic root of 257441409 is about 636.1499068140.

The spelling of 257441409 in words is "two hundred fifty-seven million, four hundred forty-one thousand, four hundred nine".