457505701 has 2 divisors, whose sum is σ = 457505702. Its totient is φ = 457505700.

The previous prime is 457505663. The next prime is 457505707. The reversal of 457505701 is 107505754.

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., 268992801 + 188512900 = 16401^2 + 13730^2 .

It is a cyclic number.

It is not a de Polignac number, because 457505701 - 2¹¹ = 457503653 is a prime.

It is a super-2 number, since 2×457505701² = 418622932895002802, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457505707) 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 as a sum of consecutive naturals, namely, 228752850 + 228752851.

It is an arithmetic number, because the mean of its divisors is an integer number (228752851).

Almost surely, 2^457505701 is an apocalyptic number.

It is an amenable number.

457505701 is a deficient number, since it is larger than the sum of its proper divisors (1).

457505701 is an equidigital number, since it uses as much as digits as its factorization.

457505701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 457505701 is about 21389.3829036744. The cubic root of 457505701 is about 770.5464727025.

The spelling of 457505701 in words is "four hundred fifty-seven million, five hundred five thousand, seven hundred one".