257465407 has 8 divisors (see below), whose sum is σ = 259749072. Its totient is φ = 255192000.

The previous prime is 257465401. The next prime is 257465413. The reversal of 257465407 is 704564752.

It is an interprime number because it is at equal distance from previous prime (257465401) and next prime (257465413).

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

It is a cyclic number.

It is not a de Polignac number, because 257465407 - 2²³ = 249076799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257465407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257465401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53032 + ... + 57682.

It is an arithmetic number, because the mean of its divisors is an integer number (32468634).

Almost surely, 2^257465407 is an apocalyptic number.

257465407 is a deficient number, since it is larger than the sum of its proper divisors (2283665).

257465407 is a wasteful number, since it uses less digits than its factorization.

257465407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129.

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 257465407 is about 16045.7286216613. The cubic root of 257465407 is about 636.1696729312.

The spelling of 257465407 in words is "two hundred fifty-seven million, four hundred sixty-five thousand, four hundred seven".