444904416 has 216 divisors, whose sum is σ = 1474435872. Its totient is φ = 126720000.

The previous prime is 444904403. The next prime is 444904459. The reversal of 444904416 is 614409444.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592041 + ... + 592791.

It is an arithmetic number, because the mean of its divisors is an integer number (6826092).

Almost surely, 2^444904416 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 444904416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737217936).

444904416 is an abundant number, since it is smaller than the sum of its proper divisors (1029531456).

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

444904416 is a wasteful number, since it uses less digits than its factorization.

444904416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 444904416 is about 21092.7574299806. The cubic root of 444904416 is about 763.4060055946.

The spelling of 444904416 in words is "four hundred forty-four million, nine hundred four thousand, four hundred sixteen".