444804408 has 96 divisors (see below), whose sum is σ = 1257787440. Its totient is φ = 141872640.

The previous prime is 444804391. The next prime is 444804413. The reversal of 444804408 is 804408444.

It is a happy number.

It is a super-2 number, since 2×444804408² = 395701922752460928, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 155035 + ... + 157877.

Almost surely, 2^444804408 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 444804408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628893720).

444804408 is an abundant number, since it is smaller than the sum of its proper divisors (812983032).

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

444804408 is a wasteful number, since it uses less digits than its factorization.

444804408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 444804408 is about 21090.3866251902. The cubic root of 444804408 is about 763.3488004765.

The spelling of 444804408 in words is "four hundred forty-four million, eight hundred four thousand, four hundred eight".