220384800 has 360 divisors, whose sum is σ = 850726800. Its totient is φ = 55365120.

The previous prime is 220384789. The next prime is 220384807. The reversal of 220384800 is 8483022.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220384807) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1231111 + ... + 1231289.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^220384800 is an apocalyptic number.

220384800 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 220384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425363400).

220384800 is an abundant number, since it is smaller than the sum of its proper divisors (630342000).

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

220384800 is a wasteful number, since it uses less digits than its factorization.

220384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220384800 is about 14845.3629123710. The cubic root of 220384800 is about 604.0328330324.

The spelling of 220384800 in words is "two hundred twenty million, three hundred eighty-four thousand, eight hundred".