8944790400 has 576 divisors, whose sum is σ = 39294047520. Its totient is φ = 1886699520.

The previous prime is 8944790389. The next prime is 8944790447. The reversal of 8944790400 is 40974498.

8944790400 is a `hidden beast` number, since 89 + 447 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 2619094 + ... + 2622506.

Almost surely, 2^8944790400 is an apocalyptic number.

8944790400 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 8944790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647023760).

8944790400 is an abundant number, since it is smaller than the sum of its proper divisors (30349257120).

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

8944790400 is a wasteful number, since it uses less digits than its factorization.

8944790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8944790400 is about 94576.9020427292. The cubic root of 8944790400 is about 2075.8217406274.

The spelling of 8944790400 in words is "eight billion, nine hundred forty-four million, seven hundred ninety thousand, four hundred".