456330336 has 144 divisors (see below), whose sum is σ = 1520285760. Its totient is φ = 118513920.

The previous prime is 456330317. The next prime is 456330377. The reversal of 456330336 is 633033654.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 456330297 and 456330306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47335 + ... + 56153.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2^456330336 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 456330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760142880).

456330336 is an abundant number, since it is smaller than the sum of its proper divisors (1063955424).

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

456330336 is a wasteful number, since it uses less digits than its factorization.

456330336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 33.

The square root of 456330336 is about 21361.8898040412. The cubic root of 456330336 is about 769.8860437419.

The spelling of 456330336 in words is "four hundred fifty-six million, three hundred thirty thousand, three hundred thirty-six".