257431409 has 8 divisors (see below), whose sum is σ = 265943040. Its totient is φ = 248932800.

The previous prime is 257431367. The next prime is 257431451. The reversal of 257431409 is 904134752.

It is an interprime number because it is at equal distance from previous prime (257431367) and next prime (257431451).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257431409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257401409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52169 + ... + 56889.

It is an arithmetic number, because the mean of its divisors is an integer number (33242880).

Almost surely, 2^257431409 is an apocalyptic number.

It is an amenable number.

257431409 is a deficient number, since it is larger than the sum of its proper divisors (8511631).

257431409 is a wasteful number, since it uses less digits than its factorization.

257431409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 257431409 is about 16044.6691770195. The cubic root of 257431409 is about 636.1416698829.

The spelling of 257431409 in words is "two hundred fifty-seven million, four hundred thirty-one thousand, four hundred nine".