460757117 has 2 divisors, whose sum is σ = 460757118. Its totient is φ = 460757116.

The previous prime is 460757047. The next prime is 460757119. The reversal of 460757117 is 711757064.

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., 234886276 + 225870841 = 15326^2 + 15029^2 .

It is a cyclic number.

It is not a de Polignac number, because 460757117 - 2²⁴ = 443979901 is a prime.

Together with 460757119, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_24392486 and since 460757117 and 24392486 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (460757119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230378558 + 230378559.

It is an arithmetic number, because the mean of its divisors is an integer number (230378559).

Almost surely, 2^460757117 is an apocalyptic number.

It is an amenable number.

460757117 is a deficient number, since it is larger than the sum of its proper divisors (1).

460757117 is an equidigital number, since it uses as much as digits as its factorization.

460757117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 460757117 is about 21465.2537138511. The cubic root of 460757117 is about 772.3675468247.

The spelling of 460757117 in words is "four hundred sixty million, seven hundred fifty-seven thousand, one hundred seventeen".