443380768 has 72 divisors (see below), whose sum is σ = 930730500. Its totient is φ = 207664128.

The previous prime is 443380733. The next prime is 443380787. The reversal of 443380768 is 867083344.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 426505104 + 16875664 = 20652^2 + 4108^2 .

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 11 ways as a sum of consecutive naturals, for example, 1270258 + ... + 1270606.

Almost surely, 2^443380768 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 443380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465365250).

443380768 is an abundant number, since it is smaller than the sum of its proper divisors (487349732).

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

443380768 is a wasteful number, since it uses less digits than its factorization.

443380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 443380768 is about 21056.6086538170. The cubic root of 443380768 is about 762.5335392575.

The spelling of 443380768 in words is "four hundred forty-three million, three hundred eighty thousand, seven hundred sixty-eight".