457912117 has 32 divisors (see below), whose sum is σ = 533998080. Its totient is φ = 389491200.

The previous prime is 457912097. The next prime is 457912123. The reversal of 457912117 is 711219754.

It is a cyclic number.

It is not a de Polignac number, because 457912117 - 2¹⁹ = 457387829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457912417) 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 in 31 ways as a sum of consecutive naturals, for example, 761617 + ... + 762217.

It is an arithmetic number, because the mean of its divisors is an integer number (16687440).

Almost surely, 2^457912117 is an apocalyptic number.

457912117 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

457912117 is a deficient number, since it is larger than the sum of its proper divisors (76085963).

457912117 is a wasteful number, since it uses less digits than its factorization.

457912117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733.

The product of its digits is 17640, while the sum is 37.

The square root of 457912117 is about 21398.8812090726. The cubic root of 457912117 is about 770.7745716674.

The spelling of 457912117 in words is "four hundred fifty-seven million, nine hundred twelve thousand, one hundred seventeen".