204220800 has 288 divisors, whose sum is σ = 833629680. Its totient is φ = 46632960.

The previous prime is 204220789. The next prime is 204220801. The reversal of 204220800 is 8022402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×204220800² = 83412270305280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204220801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201094 + ... + 202106.

Almost surely, 2^204220800 is an apocalyptic number.

204220800 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 204220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416814840).

204220800 is an abundant number, since it is smaller than the sum of its proper divisors (629408880).

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

204220800 is a wasteful number, since it uses less digits than its factorization.

204220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204220800 is about 14290.5843127564. The cubic root of 204220800 is about 588.8888403676. Note that the first 4 decimals are identical.

The spelling of 204220800 in words is "two hundred four million, two hundred twenty thousand, eight hundred".