444880800 has 648 divisors, whose sum is σ = 1985521356. Its totient is φ = 92897280.

The previous prime is 444880757. The next prime is 444880823. The reversal of 444880800 is 8088444.

It can be written as a sum of positive squares in 6 ways, for example, as 74857104 + 370023696 = 8652^2 + 19236^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4586352 + ... + 4586448.

Almost surely, 2^444880800 is an apocalyptic number.

444880800 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 444880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992760678).

444880800 is an abundant number, since it is smaller than the sum of its proper divisors (1540640556).

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

444880800 is a wasteful number, since it uses less digits than its factorization.

444880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 444880800 is about 21092.1976095427. The cubic root of 444880800 is about 763.3924978878.

The spelling of 444880800 in words is "four hundred forty-four million, eight hundred eighty thousand, eight hundred".