984004480900 has 243 divisors, whose sum is σ = 2559538333359. Its totient is φ = 327397714560.

The previous prime is 984004480871. The next prime is 984004480903. The reversal of 984004480900 is 9084400489.

It is a happy number.

The square root of 984004480900 is 991970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 93412141956 + 890592338944 = 305634^2 + 943712^2 .

It is not an unprimeable number, because it can be changed into a prime (984004480903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2569202109 + ... + 2569202491.

Almost surely, 2^984004480900 is an apocalyptic number.

984004480900 is the 991970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984004480900

984004480900 is an abundant number, since it is smaller than the sum of its proper divisors (1575533852459).

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

984004480900 is a wasteful number, since it uses less digits than its factorization.

984004480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 434 counting only the distinct ones).

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

The spelling of 984004480900 in words is "nine hundred eighty-four billion, four million, four hundred eighty thousand, nine hundred".