456343712 has 48 divisors (see below), whose sum is σ = 987360192. Its totient is φ = 205893120.

The previous prime is 456343709. The next prime is 456343717. The reversal of 456343712 is 217343654.

It is not an unprimeable number, because it can be changed into a prime (456343717) 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 7 ways as a sum of consecutive naturals, for example, 43493 + ... + 52955.

It is an arithmetic number, because the mean of its divisors is an integer number (20570004).

Almost surely, 2^456343712 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 456343712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493680096).

456343712 is an abundant number, since it is smaller than the sum of its proper divisors (531016480).

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

456343712 is a wasteful number, since it uses less digits than its factorization.

456343712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9613 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 456343712 is about 21362.2028826617. The cubic root of 456343712 is about 769.8935659937.

The spelling of 456343712 in words is "four hundred fifty-six million, three hundred forty-three thousand, seven hundred twelve".