457965 has 12 divisors (see below), whose sum is σ = 793884. Its totient is φ = 244224.

The previous prime is 457943. The next prime is 457979. The reversal of 457965 is 569754.

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 224676 = 483^2 + 474^2 .

It is not a de Polignac number, because 457965 - 2⁷ = 457837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5044 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (66157).

457965 is a Friedman number, since it can be written as 9*(7^4+6^5)*5, using all its digits and the basic arithmetic operations.

2⁴⁵⁷⁹⁶⁵ is an apocalyptic number.

457965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457965 is a deficient number, since it is larger than the sum of its proper divisors (335919).

457965 is a wasteful number, since it uses less digits than its factorization.

457965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10185 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 457965 is about 676.7311135156. The cubic root of 457965 is about 77.0804242064.

The spelling of 457965 in words is "four hundred fifty-seven thousand, nine hundred sixty-five".