456036 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 126720.

The previous prime is 456023. The next prime is 456037. The reversal of 456036 is 630654.

456036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 455997 and 456015.

It is not an unprimeable number, because it can be changed into a prime (456037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5080 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴⁵⁶⁰³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

456036 is an abundant number, since it is smaller than the sum of its proper divisors (793884).

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

456036 is a wasteful number, since it uses less digits than its factorization.

456036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 456036 is about 675.3043758188. The cubic root of 456036 is about 76.9720480991.

The spelling of 456036 in words is "four hundred fifty-six thousand, thirty-six".