443444112 has 80 divisors (see below), whose sum is σ = 1307297280. Its totient is φ = 143814528.

The previous prime is 443444081. The next prime is 443444129. The reversal of 443444112 is 211444344.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113 + ... + 29855.

It is an arithmetic number, because the mean of its divisors is an integer number (16341216).

Almost surely, 2^443444112 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 443444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653648640).

443444112 is an abundant number, since it is smaller than the sum of its proper divisors (863853168).

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

443444112 is a wasteful number, since it uses less digits than its factorization.

443444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27797 (or 27785 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 443444112 is about 21058.1127359505. The cubic root of 443444112 is about 762.5698508794.

Adding to 443444112 its reverse (211444344), we get a palindrome (654888456).

It can be divided in two parts, 443444 and 112, that added together give a square (443556 = 666²).

The spelling of 443444112 in words is "four hundred forty-three million, four hundred forty-four thousand, one hundred twelve".