983484000 has 288 divisors, whose sum is σ = 3698001216. Its totient is φ = 246681600.

The previous prime is 983483999. The next prime is 983484037. The reversal of 983484000 is 484389.

983484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 611197 + ... + 612803.

It is an arithmetic number, because the mean of its divisors is an integer number (12840282).

Almost surely, 2^983484000 is an apocalyptic number.

983484000 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 983484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849000608).

983484000 is an abundant number, since it is smaller than the sum of its proper divisors (2714517216).

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

983484000 is a wasteful number, since it uses less digits than its factorization.

983484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1634 counting only the distinct ones).

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

The square root of 983484000 is about 31360.5484645916. The cubic root of 983484000 is about 994.4640767728.

The spelling of 983484000 in words is "nine hundred eighty-three million, four hundred eighty-four thousand".