456420 has 24 divisors (see below), whose sum is σ = 1278144. Its totient is φ = 121696.

The previous prime is 456409. The next prime is 456427. The reversal of 456420 is 24654.

It is a happy number.

456420 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 456420.

It is not an unprimeable number, because it can be changed into a prime (456427) by changing a digit.

456420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3744 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (53256).

2⁴⁵⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

456420 is an abundant number, since it is smaller than the sum of its proper divisors (821724).

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

456420 is a wasteful number, since it uses less digits than its factorization.

456420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 456420 is about 675.5886322312. The cubic root of 456420 is about 76.9936465214.

The spelling of 456420 in words is "four hundred fifty-six thousand, four hundred twenty".