444116800 has 84 divisors (see below), whose sum is σ = 1099131660. Its totient is φ = 176619520.

The previous prime is 444116753. The next prime is 444116807. The reversal of 444116800 is 8611444.

It can be written as a sum of positive squares in 6 ways, for example, as 10810944 + 433305856 = 3288^2 + 20816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444116807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314496 + ... + 315904.

Almost surely, 2^444116800 is an apocalyptic number.

444116800 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 444116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549565830).

444116800 is an abundant number, since it is smaller than the sum of its proper divisors (655014860).

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

444116800 is a wasteful number, since it uses less digits than its factorization.

444116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 444116800 is about 21074.0788648045. The cubic root of 444116800 is about 762.9552526367.

The spelling of 444116800 in words is "four hundred forty-four million, one hundred sixteen thousand, eight hundred".