456312420 has 96 divisors (see below), whose sum is σ = 1436883840. Its totient is φ = 120205440.

The previous prime is 456312413. The next prime is 456312421. The reversal of 456312420 is 24213654.

456312420 is a `hidden beast` number, since 4 + 5 + 631 + 2 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (456312421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39730 + ... + 49910.

It is an arithmetic number, because the mean of its divisors is an integer number (14967540).

Almost surely, 2^456312420 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 456312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718441920).

456312420 is an abundant number, since it is smaller than the sum of its proper divisors (980571420).

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

456312420 is a wasteful number, since it uses less digits than its factorization.

456312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 456312420 is about 21361.4704550038. The cubic root of 456312420 is about 769.8759681031.

The spelling of 456312420 in words is "four hundred fifty-six million, three hundred twelve thousand, four hundred twenty".