456478344 has 192 divisors, whose sum is σ = 1509955200. Its totient is φ = 121678848.

The previous prime is 456478313. The next prime is 456478369. The reversal of 456478344 is 443874654.

456478344 is a `hidden beast` number, since 4 + 564 + 7 + 83 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456478344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698722 + ... + 699374.

It is an arithmetic number, because the mean of its divisors is an integer number (7864350).

Almost surely, 2^456478344 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 456478344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754977600).

456478344 is an abundant number, since it is smaller than the sum of its proper divisors (1053476856).

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

456478344 is a wasteful number, since it uses less digits than its factorization.

456478344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 456478344 is about 21365.3538234217. The cubic root of 456478344 is about 769.9692707138.

The spelling of 456478344 in words is "four hundred fifty-six million, four hundred seventy-eight thousand, three hundred forty-four".