4803984900 has 432 divisors, whose sum is σ = 17876564160. Its totient is φ = 1063756800.

The previous prime is 4803984863. The next prime is 4803984919. The reversal of 4803984900 is 94893084.

It is a happy number.

4803984900 is a `hidden beast` number, since 480 + 3 + 9 + 84 + 90 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20977986 + ... + 20978214.

Almost surely, 2^4803984900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4803984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938282080).

4803984900 is an abundant number, since it is smaller than the sum of its proper divisors (13072579260).

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

4803984900 is a wasteful number, since it uses less digits than its factorization.

4803984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4803984900 is about 69310.7848750828. The cubic root of 4803984900 is about 1687.3320063217.

The spelling of 4803984900 in words is "four billion, eight hundred three million, nine hundred eighty-four thousand, nine hundred".