216804900 has 144 divisors (see below), whose sum is σ = 705204864. Its totient is φ = 51025920.

The previous prime is 216804799. The next prime is 216804901. The reversal of 216804900 is 9408612.

216804900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216804901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88492 + ... + 90908.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2^216804900 is an apocalyptic number.

216804900 is a gapful number since it is divisible by the number (20) 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 216804900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

216804900 is an abundant number, since it is smaller than the sum of its proper divisors (488399964).

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

216804900 is a wasteful number, since it uses less digits than its factorization.

216804900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 216804900 is about 14724.2962480385. The cubic root of 216804900 is about 600.7443539579.

The spelling of 216804900 in words is "two hundred sixteen million, eight hundred four thousand, nine hundred".