984084480 has 312 divisors, whose sum is σ = 3603384720. Its totient is φ = 247726080.

The previous prime is 984084473. The next prime is 984084487. The reversal of 984084480 is 84480489.

984084480 is a `hidden beast` number, since 98 + 4 + 0 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (984084473) and next prime (984084487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984084487) 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 23 ways as a sum of consecutive naturals, for example, 3501940 + ... + 3502220.

It is an arithmetic number, because the mean of its divisors is an integer number (11549310).

Almost surely, 2^984084480 is an apocalyptic number.

984084480 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 984084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801692360).

984084480 is an abundant number, since it is smaller than the sum of its proper divisors (2619300240).

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

984084480 is a wasteful number, since it uses less digits than its factorization.

984084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 984084480 is about 31370.1208158337. The cubic root of 984084480 is about 994.6664302753. Note that the first 3 decimals are identical.

The spelling of 984084480 in words is "nine hundred eighty-four million, eighty-four thousand, four hundred eighty".