982885200 has 240 divisors, whose sum is σ = 3616435200. Its totient is φ = 225676800.

The previous prime is 982885199. The next prime is 982885229. The reversal of 982885200 is 2588289.

It is a Cunningham number, because it is equal to 31351²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248841 + ... + 252759.

It is an arithmetic number, because the mean of its divisors is an integer number (15068480).

Almost surely, 2^982885200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808217600).

982885200 is an abundant number, since it is smaller than the sum of its proper divisors (2633550000).

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

982885200 is a wasteful number, since it uses less digits than its factorization.

982885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 982885200 is about 31350.9999840515. Note that the first 4 decimals coincide. The cubic root of 982885200 is about 994.2622073694.

The spelling of 982885200 in words is "nine hundred eighty-two million, eight hundred eighty-five thousand, two hundred".