457257393 has 20 divisors (see below), whose sum is σ = 684122868. Its totient is φ = 304365600.

The previous prime is 457257389. The next prime is 457257421. The reversal of 457257393 is 393752754.

457257393 is a `hidden beast` number, since 4 + 5 + 7 + 257 + 393 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375119424 + 82137969 = 19368^2 + 9063^2 .

It is not a de Polignac number, because 457257393 - 2² = 457257389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457257193) 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 19 ways as a sum of consecutive naturals, for example, 52755 + ... + 60807.

Almost surely, 2^457257393 is an apocalyptic number.

It is an amenable number.

457257393 is a deficient number, since it is larger than the sum of its proper divisors (226865475).

457257393 is an equidigital number, since it uses as much as digits as its factorization.

457257393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8757 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 457257393 is about 21383.5776473442. The cubic root of 457257393 is about 770.4070445829.

The spelling of 457257393 in words is "four hundred fifty-seven million, two hundred fifty-seven thousand, three hundred ninety-three".