257748457 has 6 divisors (see below), whose sum is σ = 258656874. Its totient is φ = 256842000.

The previous prime is 257748437. The next prime is 257748461. The reversal of 257748457 is 754847752.

It can be written as a sum of positive squares in only one way, i.e., 248724441 + 9024016 = 15771^2 + 3004^2 .

It is a de Polignac number, because none of the positive numbers 2^k-257748457 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 257748457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257748437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342832 + ... + 343582.

It is an arithmetic number, because the mean of its divisors is an integer number (43109479).

Almost surely, 2^257748457 is an apocalyptic number.

It is an amenable number.

257748457 is a deficient number, since it is larger than the sum of its proper divisors (908417).

257748457 is an frugal number, since it uses more digits than its factorization.

257748457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1208 counting only the distinct ones).

The product of its digits is 2195200, while the sum is 49.

The square root of 257748457 is about 16054.5463031504. The cubic root of 257748457 is about 636.4027163798.

The spelling of 257748457 in words is "two hundred fifty-seven million, seven hundred forty-eight thousand, four hundred fifty-seven".