457985 has 12 divisors (see below), whose sum is σ = 604884. Its totient is φ = 332640.

The previous prime is 457981. The next prime is 457987. The reversal of 457985 is 589754.

It can be written as a sum of positive squares in 2 ways, for example, as 223729 + 234256 = 473^2 + 484^2 .

It is not a de Polignac number, because 457985 - 2² = 457981 is a prime.

It is a Duffinian number.

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 11 ways as a sum of consecutive naturals, for example, 227 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (50407).

2⁴⁵⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

457985 is a deficient number, since it is larger than the sum of its proper divisors (146899).

457985 is a wasteful number, since it uses less digits than its factorization.

457985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 457985 is about 676.7458902720. The cubic root of 457985 is about 77.0815462616.

Subtracting 457985 from its reverse (589754), we obtain a square (131769 = 363²).

It can be divided in two parts, 4579 and 85, that added together give a palindrome (4664).

The spelling of 457985 in words is "four hundred fifty-seven thousand, nine hundred eighty-five".