396456 has 16 divisors (see below), whose sum is σ = 991200. Its totient is φ = 132144.

The previous prime is 396449. The next prime is 396479. The reversal of 396456 is 654693.

It is a happy number.

396456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396456.

It is an unprimeable number.

396456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8236 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (61950).

2³⁹⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

396456 is an abundant number, since it is smaller than the sum of its proper divisors (594744).

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

396456 is a wasteful number, since it uses less digits than its factorization.

396456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16528 (or 16524 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 396456 is about 629.6475204430. The cubic root of 396456 is about 73.4623806746.

The spelling of 396456 in words is "three hundred ninety-six thousand, four hundred fifty-six".