456316420 has 72 divisors (see below), whose sum is σ = 1138548096. Its totient is φ = 153107136.

The previous prime is 456316409. The next prime is 456316433. The reversal of 456316420 is 24613654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41107 + ... + 51013.

It is an arithmetic number, because the mean of its divisors is an integer number (15813168).

Almost surely, 2^456316420 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 456316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569274048).

456316420 is an abundant number, since it is smaller than the sum of its proper divisors (682231676).

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

456316420 is a wasteful number, since it uses less digits than its factorization.

456316420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 456316420 is about 21361.5640813120. The cubic root of 456316420 is about 769.8782176547.

The spelling of 456316420 in words is "four hundred fifty-six million, three hundred sixteen thousand, four hundred twenty".