457691 has 16 divisors (see below), whose sum is σ = 554400. Its totient is φ = 373248.

The previous prime is 457687. The next prime is 457697. The reversal of 457691 is 196754.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 457691 - 2² = 457687 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457691.

It is not an unprimeable number, because it can be changed into a prime (457697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4145 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁴⁵⁷⁶⁹¹ is an apocalyptic number.

457691 is a deficient number, since it is larger than the sum of its proper divisors (96709).

457691 is a wasteful number, since it uses less digits than its factorization.

457691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its digits is 7560, while the sum is 32.

The square root of 457691 is about 676.5286394529. The cubic root of 457691 is about 77.0650487595.

The spelling of 457691 in words is "four hundred fifty-seven thousand, six hundred ninety-one".