457506701 has 2 divisors, whose sum is σ = 457506702. Its totient is φ = 457506700.

The previous prime is 457506671. The next prime is 457506727. The reversal of 457506701 is 107605754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439908676 + 17598025 = 20974^2 + 4195^2 .

It is a cyclic number.

It is not a de Polignac number, because 457506701 - 2¹⁴ = 457490317 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457506761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228753350 + 228753351.

It is an arithmetic number, because the mean of its divisors is an integer number (228753351).

Almost surely, 2^457506701 is an apocalyptic number.

It is an amenable number.

457506701 is a deficient number, since it is larger than the sum of its proper divisors (1).

457506701 is an equidigital number, since it uses as much as digits as its factorization.

457506701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 457506701 is about 21389.4062797451. The cubic root of 457506701 is about 770.5470341133.

The spelling of 457506701 in words is "four hundred fifty-seven million, five hundred six thousand, seven hundred one".