444536008 has 64 divisors (see below), whose sum is σ = 1012176000. Its totient is φ = 178785792.

The previous prime is 444535999. The next prime is 444536033. The reversal of 444536008 is 800635444.

It is a super-2 number, since 2×444536008² = 395224524817152128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114060 + ... + 117892.

It is an arithmetic number, because the mean of its divisors is an integer number (15815250).

Almost surely, 2^444536008 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 444536008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506088000).

444536008 is an abundant number, since it is smaller than the sum of its proper divisors (567639992).

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

444536008 is a wasteful number, since it uses less digits than its factorization.

444536008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 444536008 is about 21084.0225763491. The cubic root of 444536008 is about 763.1952318234.

The spelling of 444536008 in words is "four hundred forty-four million, five hundred thirty-six thousand, eight".