457686 has 24 divisors (see below), whose sum is σ = 1014624. Its totient is φ = 149040.

The previous prime is 457679. The next prime is 457687. The reversal of 457686 is 686754.

It is a happy number.

457686 is a `hidden beast` number, since 4 + 576 + 86 = 666.

457686 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 457686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457687) 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, 576 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (42276).

2⁴⁵⁷⁶⁸⁶ is an apocalyptic number.

457686 is an abundant number, since it is smaller than the sum of its proper divisors (556938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457686 is a wasteful number, since it uses less digits than its factorization.

457686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 457686 is about 676.5249441078. The cubic root of 457686 is about 77.0647681286.

The spelling of 457686 in words is "four hundred fifty-seven thousand, six hundred eighty-six".