1984020480 has 600 divisors, whose sum is σ = 7993050912. Its totient is φ = 467140608.

The previous prime is 1984020469. The next prime is 1984020481. The reversal of 1984020480 is 840204891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984020481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86261749 + ... + 86261771.

Almost surely, 2^1984020480 is an apocalyptic number.

1984020480 is a gapful number since it is divisible by the number (10) 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 1984020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996525456).

1984020480 is an abundant number, since it is smaller than the sum of its proper divisors (6009030432).

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

1984020480 is an equidigital number, since it uses as much as digits as its factorization.

1984020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1984020480 is about 44542.3447968335. The cubic root of 1984020480 is about 1256.5565845624.

The spelling of 1984020480 in words is "one billion, nine hundred eighty-four million, twenty thousand, four hundred eighty".