457893 has 10 divisors (see below), whose sum is σ = 684134. Its totient is φ = 305208.

The previous prime is 457889. The next prime is 457903. The reversal of 457893 is 398754.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 26244 = 657^2 + 162^2 .

It is not a de Polignac number, because 457893 - 2² = 457889 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 (457813) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2746 + ... + 2907.

2⁴⁵⁷⁸⁹³ is an apocalyptic number.

It is an amenable number.

457893 is a deficient number, since it is larger than the sum of its proper divisors (226241).

457893 is an equidigital number, since it uses as much as digits as its factorization.

457893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5656 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 457893 is about 676.6779145206. The cubic root of 457893 is about 77.0763845372.

The spelling of 457893 in words is "four hundred fifty-seven thousand, eight hundred ninety-three".