444044864 has 56 divisors (see below), whose sum is σ = 904817088. Its totient is φ = 216138240.

The previous prime is 444044851. The next prime is 444044893. The reversal of 444044864 is 468440444.

It is a super-3 number, since 3×444044864³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417197 + ... + 418259.

It is an arithmetic number, because the mean of its divisors is an integer number (16157448).

Almost surely, 2^444044864 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 444044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452408544).

444044864 is an abundant number, since it is smaller than the sum of its proper divisors (460772224).

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

444044864 is a wasteful number, since it uses less digits than its factorization.

444044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

The square root of 444044864 is about 21072.3720544223. The cubic root of 444044864 is about 762.9140570829.

The spelling of 444044864 in words is "four hundred forty-four million, forty-four thousand, eight hundred sixty-four".