457505393 has 2 divisors, whose sum is σ = 457505394. Its totient is φ = 457505392.

The previous prime is 457505341. The next prime is 457505401. The reversal of 457505393 is 393505754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276656689 + 180848704 = 16633^2 + 13448^2 .

It is a cyclic number.

It is not a de Polignac number, because 457505393 - 2⁶ = 457505329 is a prime.

It is a super-2 number, since 2×457505393² = 418622369248168898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457505393.

It is not a weakly prime, because it can be changed into another prime (457505093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228752696 + 228752697.

It is an arithmetic number, because the mean of its divisors is an integer number (228752697).

Almost surely, 2^457505393 is an apocalyptic number.

It is an amenable number.

457505393 is a deficient number, since it is larger than the sum of its proper divisors (1).

457505393 is an equidigital number, since it uses as much as digits as its factorization.

457505393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 283500, while the sum is 41.

The square root of 457505393 is about 21389.3757038395. The cubic root of 457505393 is about 770.5462997878.

The spelling of 457505393 in words is "four hundred fifty-seven million, five hundred five thousand, three hundred ninety-three".