1985556480 has 208 divisors, whose sum is σ = 6730249824. Its totient is φ = 498073600.

The previous prime is 1985556473. The next prime is 1985556491. The reversal of 1985556480 is 846555891.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043530 + ... + 1045430.

Almost surely, 2^1985556480 is an apocalyptic number.

1985556480 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 1985556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365124912).

1985556480 is an abundant number, since it is smaller than the sum of its proper divisors (4744693344).

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

1985556480 is a wasteful number, since it uses less digits than its factorization.

1985556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The square root of 1985556480 is about 44559.5834809977. The cubic root of 1985556480 is about 1256.8807702365.

The spelling of 1985556480 in words is "one billion, nine hundred eighty-five million, five hundred fifty-six thousand, four hundred eighty".