457991 has 4 divisors (see below), whose sum is σ = 461472. Its totient is φ = 454512.

The previous prime is 457987. The next prime is 458009. The reversal of 457991 is 199754.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 199754 = 2 ⋅99877.

It is a cyclic number.

It is not a de Polignac number, because 457991 - 2² = 457987 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457991.

It is not an unprimeable number, because it can be changed into a prime (457981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1535 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (115368).

2⁴⁵⁷⁹⁹¹ is an apocalyptic number.

457991 is a deficient number, since it is larger than the sum of its proper divisors (3481).

457991 is a wasteful number, since it uses less digits than its factorization.

457991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480.

The product of its digits is 11340, while the sum is 35.

The square root of 457991 is about 676.7503232360. The cubic root of 457991 is about 77.0818828718.

The spelling of 457991 in words is "four hundred fifty-seven thousand, nine hundred ninety-one".