456685 has 8 divisors (see below), whose sum is σ = 552600. Its totient is φ = 362304.

The previous prime is 456683. The next prime is 456697. The reversal of 456685 is 586654.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 426409 = 174^2 + 653^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456685 - 2¹ = 456683 is a prime.

It is a super-2 number, since 2×456685² = 417122378450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (69075).

2⁴⁵⁶⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

456685 is a deficient number, since it is larger than the sum of its proper divisors (95915).

456685 is a wasteful number, since it uses less digits than its factorization.

456685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its digits is 28800, while the sum is 34.

The square root of 456685 is about 675.7847290373. The cubic root of 456685 is about 77.0085446188.

The spelling of 456685 in words is "four hundred fifty-six thousand, six hundred eighty-five".