457697601 has 8 divisors (see below), whose sum is σ = 678070560. Its totient is φ = 305131716.

The previous prime is 457697599. The next prime is 457697627. The reversal of 457697601 is 106796754.

It is a happy number.

457697601 is a `hidden beast` number, since 4 + 576 + 9 + 76 + 0 + 1 = 666.

It is not a de Polignac number, because 457697601 - 2¹ = 457697599 is a prime.

It is a super-2 number, since 2×457697601² = 418974187922310402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457697641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8475855 + ... + 8475908.

It is an arithmetic number, because the mean of its divisors is an integer number (84758820).

Almost surely, 2^457697601 is an apocalyptic number.

It is an amenable number.

457697601 is a deficient number, since it is larger than the sum of its proper divisors (220372959).

457697601 is a wasteful number, since it uses less digits than its factorization.

457697601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951772 (or 16951766 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 457697601 is about 21393.8683037921. The cubic root of 457697601 is about 770.6541924521.

The spelling of 457697601 in words is "four hundred fifty-seven million, six hundred ninety-seven thousand, six hundred one".