443998368 has 288 divisors, whose sum is σ = 1480066560. Its totient is φ = 129254400.

The previous prime is 443998363. The next prime is 443998369. The reversal of 443998368 is 863899344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (443998361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3240796 + ... + 3240932.

It is an arithmetic number, because the mean of its divisors is an integer number (5139120).

Almost surely, 2^443998368 is an apocalyptic number.

443998368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443998368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740033280).

443998368 is an abundant number, since it is smaller than the sum of its proper divisors (1036068192).

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

443998368 is a wasteful number, since it uses less digits than its factorization.

443998368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 443998368 is about 21071.2687800237. The cubic root of 443998368 is about 762.8874278741.

The spelling of 443998368 in words is "four hundred forty-three million, nine hundred ninety-eight thousand, three hundred sixty-eight".