982488000 has 448 divisors, whose sum is σ = 3621316608. Its totient is φ = 233164800.

The previous prime is 982487981. The next prime is 982488011. The reversal of 982488000 is 884289.

It is a happy number.

982488000 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 982488000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14663967 + ... + 14664033.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2^982488000 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 982488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810658304).

982488000 is an abundant number, since it is smaller than the sum of its proper divisors (2638828608).

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

982488000 is a wasteful number, since it uses less digits than its factorization.

982488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 982488000 is about 31344.6646177623. The cubic root of 982488000 is about 994.1282567790.

The spelling of 982488000 in words is "nine hundred eighty-two million, four hundred eighty-eight thousand".