444624804 has 108 divisors (see below), whose sum is σ = 1230190416. Its totient is φ = 135330624.

The previous prime is 444624793. The next prime is 444624809. The reversal of 444624804 is 408426444.

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

It is not an unprimeable number, because it can be changed into a prime (444624809) by changing a digit.

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, 650647 + ... + 651329.

It is an arithmetic number, because the mean of its divisors is an integer number (11390652).

Almost surely, 2^444624804 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 444624804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615095208).

444624804 is an abundant number, since it is smaller than the sum of its proper divisors (785565612).

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

444624804 is a wasteful number, since it uses less digits than its factorization.

444624804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 444624804 is about 21086.1282363548. The cubic root of 444624804 is about 763.2460444841.

The spelling of 444624804 in words is "four hundred forty-four million, six hundred twenty-four thousand, eight hundred four".