457506657 has 8 divisors (see below), whose sum is σ = 677787680. Its totient is φ = 305004420.

The previous prime is 457506613. The next prime is 457506671. The reversal of 457506657 is 756605754.

It is not a de Polignac number, because 457506657 - 2¹² = 457502561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457506457) 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, 8472319 + ... + 8472372.

It is an arithmetic number, because the mean of its divisors is an integer number (84723460).

Almost surely, 2^457506657 is an apocalyptic number.

It is an amenable number.

457506657 is a deficient number, since it is larger than the sum of its proper divisors (220281023).

457506657 is a wasteful number, since it uses less digits than its factorization.

457506657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16944700 (or 16944694 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 457506657 is about 21389.4052511985. The cubic root of 457506657 is about 770.5470094112.

The spelling of 457506657 in words is "four hundred fifty-seven million, five hundred six thousand, six hundred fifty-seven".