982924800 has 480 divisors, whose sum is σ = 3836004480. Its totient is φ = 218726400.

The previous prime is 982924783. The next prime is 982924801. The reversal of 982924800 is 8429289.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×982924800² = 1932282324910080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982924801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5491111 + ... + 5491289.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^982924800 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 982924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918002240).

982924800 is an abundant number, since it is smaller than the sum of its proper divisors (2853079680).

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

982924800 is a wasteful number, since it uses less digits than its factorization.

982924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 982924800 is about 31351.6315364926. The cubic root of 982924800 is about 994.2755599816.

The spelling of 982924800 in words is "nine hundred eighty-two million, nine hundred twenty-four thousand, eight hundred".