1984506480 has 300 divisors, whose sum is σ = 7579030536. Its totient is φ = 480902400.

The previous prime is 1984506467. The next prime is 1984506497. The reversal of 1984506480 is 846054891.

1984506480 is a `hidden beast` number, since 198 + 450 + 6 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 782815 + ... + 785345.

Almost surely, 2^1984506480 is an apocalyptic number.

1984506480 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 1984506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789515268).

1984506480 is an abundant number, since it is smaller than the sum of its proper divisors (5594524056).

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

1984506480 is a wasteful number, since it uses less digits than its factorization.

1984506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1984506480 is about 44547.7999456763. The cubic root of 1984506480 is about 1256.6591770253.

1984506480 divided by its sum of digits (45) gives a palindrome (44100144).

The spelling of 1984506480 in words is "one billion, nine hundred eighty-four million, five hundred six thousand, four hundred eighty".