456684 has 24 divisors (see below), whose sum is σ = 1122240. Its totient is φ = 144144.

The previous prime is 456683. The next prime is 456697. The reversal of 456684 is 486654.

It is a happy number.

456684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

456684 is a modest number, since divided by 684 gives 456 as remainder.

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, 774 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (46760).

2⁴⁵⁶⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

456684 is an abundant number, since it is smaller than the sum of its proper divisors (665556).

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

456684 is a wasteful number, since it uses less digits than its factorization.

456684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2027 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 456684 is about 675.7839891563. The cubic root of 456684 is about 77.0084884104.

The spelling of 456684 in words is "four hundred fifty-six thousand, six hundred eighty-four".