1984480992 has 384 divisors, whose sum is σ = 6960038400. Its totient is φ = 543449088.

The previous prime is 1984480987. The next prime is 1984480997. The reversal of 1984480992 is 2990844891.

1984480992 is a `hidden beast` number, since 198 + 448 + 0 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1984480987) and next prime (1984480997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984480997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3627663 + ... + 3628209.

It is an arithmetic number, because the mean of its divisors is an integer number (18125100).

Almost surely, 2^1984480992 is an apocalyptic number.

1984480992 is a gapful number since it is divisible by the number (12) 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 1984480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480019200).

1984480992 is an abundant number, since it is smaller than the sum of its proper divisors (4975557408).

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

1984480992 is a wasteful number, since it uses less digits than its factorization.

1984480992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1984480992 is about 44547.5138700242. The cubic root of 1984480992 is about 1256.6537970368.

The spelling of 1984480992 in words is "one billion, nine hundred eighty-four million, four hundred eighty thousand, nine hundred ninety-two".