457664607 has 8 divisors (see below), whose sum is σ = 678021680. Its totient is φ = 305109720.

The previous prime is 457664587. The next prime is 457664653. The reversal of 457664607 is 706466754.

It is a happy number.

It is not a de Polignac number, because 457664607 - 2¹⁴ = 457648223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457664707) 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 7 ways as a sum of consecutive naturals, for example, 8475244 + ... + 8475297.

It is an arithmetic number, because the mean of its divisors is an integer number (84752710).

Almost surely, 2^457664607 is an apocalyptic number.

457664607 is a deficient number, since it is larger than the sum of its proper divisors (220357073).

457664607 is a wasteful number, since it uses less digits than its factorization.

457664607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950550 (or 16950544 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 457664607 is about 21393.0971811003. The cubic root of 457664607 is about 770.6356739838.

The spelling of 457664607 in words is "four hundred fifty-seven million, six hundred sixty-four thousand, six hundred seven".