1983878400 has 432 divisors, whose sum is σ = 7755753600. Its totient is φ = 436961280.

The previous prime is 1983878389. The next prime is 1983878419. The reversal of 1983878400 is 48783891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1983878400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897346 + ... + 3897854.

Almost surely, 2^1983878400 is an apocalyptic number.

1983878400 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 1983878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877876800).

1983878400 is an abundant number, since it is smaller than the sum of its proper divisors (5771875200).

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

1983878400 is a wasteful number, since it uses less digits than its factorization.

1983878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1983878400 is about 44540.7498814288. The cubic root of 1983878400 is about 1256.5265889343.

The spelling of 1983878400 in words is "one billion, nine hundred eighty-three million, eight hundred seventy-eight thousand, four hundred".