8440894900 has 72 divisors (see below), whose sum is σ = 18484051320. Its totient is φ = 3345661440.

The previous prime is 8440894877. The next prime is 8440894901. The reversal of 8440894900 is 94980448.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 137311524 + 8303583376 = 11718^2 + 91124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8440894901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6867486 + ... + 6868714.

It is an arithmetic number, because the mean of its divisors is an integer number (256722935).

Almost surely, 2^8440894900 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 8440894900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242025660).

8440894900 is an abundant number, since it is smaller than the sum of its proper divisors (10043156420).

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

8440894900 is a wasteful number, since it uses less digits than its factorization.

8440894900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 8440894900 is about 91874.3429908481. The cubic root of 8440894900 is about 2036.0862180968.

The spelling of 8440894900 in words is "eight billion, four hundred forty million, eight hundred ninety-four thousand, nine hundred".