9224409600 has 1200 divisors, whose sum is σ = 41258359296. Its totient is φ = 1990656000.

The previous prime is 9224409589. The next prime is 9224409613. The reversal of 9224409600 is 69044229.

9224409600 is a `hidden beast` number, since 9 + 2 + 2 + 4 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224985580 + ... + 224985620.

Almost surely, 2^9224409600 is an apocalyptic number.

9224409600 is a gapful number since it is divisible by the number (90) 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 9224409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629179648).

9224409600 is an abundant number, since it is smaller than the sum of its proper divisors (32033949696).

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

9224409600 is a wasteful number, since it uses less digits than its factorization.

9224409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9224409600 is about 96043.7900126812. The cubic root of 9224409600 is about 2097.2306352334.

The spelling of 9224409600 in words is "nine billion, two hundred twenty-four million, four hundred nine thousand, six hundred".