444116400 has 480 divisors, whose sum is σ = 1808217600. Its totient is φ = 92574720.

The previous prime is 444116389. The next prime is 444116429. The reversal of 444116400 is 4611444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350759 + ... + 5350841.

It is an arithmetic number, because the mean of its divisors is an integer number (3767120).

Almost surely, 2^444116400 is an apocalyptic number.

444116400 is a gapful number since it is divisible by the number (40) 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 444116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904108800).

444116400 is an abundant number, since it is smaller than the sum of its proper divisors (1364101200).

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

444116400 is a wasteful number, since it uses less digits than its factorization.

444116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 444116400 is about 21074.0693744706. The cubic root of 444116400 is about 762.9550235812.

Adding to 444116400 its reverse (4611444), we get a palindrome (448727844).

The spelling of 444116400 in words is "four hundred forty-four million, one hundred sixteen thousand, four hundred".