982384200 has 240 divisors, whose sum is σ = 3899839680. Its totient is φ = 224519040.

The previous prime is 982384147. The next prime is 982384223. The reversal of 982384200 is 2483289.

It is a super-3 number, since 3×982384200³ (a number of 28 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 109069 + ... + 117731.

It is an arithmetic number, because the mean of its divisors is an integer number (16249332).

Almost surely, 2^982384200 is an apocalyptic number.

982384200 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 982384200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949919840).

982384200 is an abundant number, since it is smaller than the sum of its proper divisors (2917455480).

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

982384200 is a wasteful number, since it uses less digits than its factorization.

982384200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 982384200 is about 31343.0087898402. The cubic root of 982384200 is about 994.0932456144.

The spelling of 982384200 in words is "nine hundred eighty-two million, three hundred eighty-four thousand, two hundred".