444050880 has 672 divisors, whose sum is σ = 1927701504. Its totient is φ = 84344832.

The previous prime is 444050879. The next prime is 444050899. The reversal of 444050880 is 88050444.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 19306549 + ... + 19306571.

Almost surely, 2^444050880 is an apocalyptic number.

444050880 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 444050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963850752).

444050880 is an abundant number, since it is smaller than the sum of its proper divisors (1483650624).

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

444050880 is a wasteful number, since it uses less digits than its factorization.

444050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 444050880 is about 21072.5148000897. The cubic root of 444050880 is about 762.9175024331.

The spelling of 444050880 in words is "four hundred forty-four million, fifty thousand, eight hundred eighty".