456696 has 24 divisors (see below), whose sum is σ = 1237080. Its totient is φ = 152208.

The previous prime is 456683. The next prime is 456697. The reversal of 456696 is 696654.

It is a happy number.

456696 is a `hidden beast` number, since 4 + 566 + 96 = 666.

456696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 456696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3100 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (51545).

2⁴⁵⁶⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

456696 is an abundant number, since it is smaller than the sum of its proper divisors (780384).

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

456696 is a wasteful number, since it uses less digits than its factorization.

456696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6348 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 456696 is about 675.7928676747. The cubic root of 456696 is about 77.0091629058.

The spelling of 456696 in words is "four hundred fifty-six thousand, six hundred ninety-six".