257740457 has 8 divisors (see below), whose sum is σ = 280024584. Its totient is φ = 235807488.

The previous prime is 257740447. The next prime is 257740471. The reversal of 257740457 is 754047752.

It can be written as a sum of positive squares in 4 ways, for example, as 10118761 + 247621696 = 3181^2 + 15736^2 .

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 257740457 - 2⁶ = 257740393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257740447) 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, 86258 + ... + 89195.

It is an arithmetic number, because the mean of its divisors is an integer number (35003073).

Almost surely, 2^257740457 is an apocalyptic number.

It is an amenable number.

257740457 is a deficient number, since it is larger than the sum of its proper divisors (22284127).

257740457 is a wasteful number, since it uses less digits than its factorization.

257740457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175579.

The product of its (nonzero) digits is 274400, while the sum is 41.

The square root of 257740457 is about 16054.2971506074. The cubic root of 257740457 is about 636.3961320864.

It can be divided in two parts, 2577 and 40457, that added together give a palindrome (43034).

The spelling of 257740457 in words is "two hundred fifty-seven million, seven hundred forty thousand, four hundred fifty-seven".