8444804000 has 96 divisors (see below), whose sum is σ = 20786337936. Its totient is φ = 3371827200.

The previous prime is 8444803963. The next prime is 8444804047. The reversal of 8444804000 is 4084448.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1708334224 + 6736469776 = 41332^2 + 82076^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2690432 + ... + 2693568.

Almost surely, 2^8444804000 is an apocalyptic number.

8444804000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393168968).

8444804000 is an abundant number, since it is smaller than the sum of its proper divisors (12341533936).

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

8444804000 is a wasteful number, since it uses less digits than its factorization.

8444804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8444804000 is about 91895.6146940647. The cubic root of 8444804000 is about 2036.4004832058.

Adding to 8444804000 its reverse (4084448), we get a palindrome (8448888448).

The spelling of 8444804000 in words is "eight billion, four hundred forty-four million, eight hundred four thousand".