257896449 has 12 divisors (see below), whose sum is σ = 385362900. Its totient is φ = 166002144.

The previous prime is 257896433. The next prime is 257896451. The reversal of 257896449 is 944698752.

257896449 is a `hidden beast` number, since 2 + 578 + 9 + 64 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 173844225 = 9168^2 + 13185^2 .

It is not a de Polignac number, because 257896449 - 2⁴ = 257896433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257896395 and 257896404.

It is not an unprimeable number, because it can be changed into a prime (257896459) 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 11 ways as a sum of consecutive naturals, for example, 493794 + ... + 494315.

It is an arithmetic number, because the mean of its divisors is an integer number (32113575).

Almost surely, 2^257896449 is an apocalyptic number.

257896449 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

257896449 is a deficient number, since it is larger than the sum of its proper divisors (127466451).

257896449 is a wasteful number, since it uses less digits than its factorization.

257896449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988144 (or 988141 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 257896449 is about 16059.1546788740. The cubic root of 257896449 is about 636.5244946593.

The spelling of 257896449 in words is "two hundred fifty-seven million, eight hundred ninety-six thousand, four hundred forty-nine".