304980816000 has 1024 divisors, whose sum is σ = 1237317120000. Its totient is φ = 64865894400.

The previous prime is 304980815999. The next prime is 304980816011. The reversal of 304980816000 is 618089403.

It is a self number, because there is not a number n which added to its sum of digits gives 304980816000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 611183751 + ... + 611184249.

It is an arithmetic number, because the mean of its divisors is an integer number (1208317500).

Almost surely, 2^304980816000 is an apocalyptic number.

304980816000 is a gapful number since it is divisible by the number (30) 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 304980816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618658560000).

304980816000 is an abundant number, since it is smaller than the sum of its proper divisors (932336304000).

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

304980816000 is a wasteful number, since it uses less digits than its factorization.

304980816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 304980816000 in words is "three hundred four billion, nine hundred eighty million, eight hundred sixteen thousand".