457713117 has 12 divisors (see below), whose sum is σ = 700032060. Its totient is φ = 287192448.

The previous prime is 457713071. The next prime is 457713121. The reversal of 457713117 is 711317754.

It can be written as a sum of positive squares in 2 ways, for example, as 319908996 + 137804121 = 17886^2 + 11739^2 .

It is not a de Polignac number, because 457713117 - 2⁷ = 457712989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457713197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495642 + ... + 1495947.

It is an arithmetic number, because the mean of its divisors is an integer number (58336005).

Almost surely, 2^457713117 is an apocalyptic number.

It is an amenable number.

457713117 is a deficient number, since it is larger than the sum of its proper divisors (242318943).

457713117 is a wasteful number, since it uses less digits than its factorization.

457713117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991612 (or 2991609 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 457713117 is about 21394.2309279862. The cubic root of 457713117 is about 770.6629007748.

The spelling of 457713117 in words is "four hundred fifty-seven million, seven hundred thirteen thousand, one hundred seventeen".