8899430400 has 864 divisors, whose sum is σ = 38022566400. Its totient is φ = 1946419200.

The previous prime is 8899430383. The next prime is 8899430413. The reversal of 8899430400 is 40349988.

It is a happy number.

It is a super-2 number, since 2×8899430400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99993556 + ... + 99993644.

It is an arithmetic number, because the mean of its divisors is an integer number (44007600).

Almost surely, 2^8899430400 is an apocalyptic number.

8899430400 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 8899430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011283200).

8899430400 is an abundant number, since it is smaller than the sum of its proper divisors (29123136000).

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

8899430400 is a wasteful number, since it uses less digits than its factorization.

8899430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8899430400 is about 94336.7923983003. The cubic root of 8899430400 is about 2072.3068869593.

The spelling of 8899430400 in words is "eight billion, eight hundred ninety-nine million, four hundred thirty thousand, four hundred".