9482205600 has 1296 divisors, whose sum is σ = 43744700160. Its totient is φ = 1974067200.

The previous prime is 9482205589. The next prime is 9482205613. The reversal of 9482205600 is 65022849.

It is a happy number.

9482205600 is a `hidden beast` number, since 9 + 48 + 2 + 2 + 0 + 5 + 600 = 666.

9482205600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 305877585 + ... + 305877615.

Almost surely, 2^9482205600 is an apocalyptic number.

9482205600 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 9482205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872350080).

9482205600 is an abundant number, since it is smaller than the sum of its proper divisors (34262494560).

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

9482205600 is a wasteful number, since it uses less digits than its factorization.

9482205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9482205600 is about 97376.6173164790. The cubic root of 9482205600 is about 2116.5886158281.

The spelling of 9482205600 in words is "nine billion, four hundred eighty-two million, two hundred five thousand, six hundred".