443994912 has 96 divisors (see below), whose sum is σ = 1304654400. Its totient is φ = 146893824.

The previous prime is 443994877. The next prime is 443994917. The reversal of 443994912 is 219499344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (443994917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118248 + ... + 121944.

It is an arithmetic number, because the mean of its divisors is an integer number (13590150).

Almost surely, 2^443994912 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 443994912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652327200).

443994912 is an abundant number, since it is smaller than the sum of its proper divisors (860659488).

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

443994912 is a wasteful number, since it uses less digits than its factorization.

443994912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3841 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 443994912 is about 21071.1867724625. The cubic root of 443994912 is about 762.8854484781.

The spelling of 443994912 in words is "four hundred forty-three million, nine hundred ninety-four thousand, nine hundred twelve".