200328800 has 144 divisors (see below), whose sum is σ = 566963712. Its totient is φ = 67699200.

The previous prime is 200328797. The next prime is 200328823. The reversal of 200328800 is 8823002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 464585 + ... + 465015.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^200328800 is an apocalyptic number.

200328800 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 200328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

200328800 is an abundant number, since it is smaller than the sum of its proper divisors (366634912).

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

200328800 is a wasteful number, since it uses less digits than its factorization.

200328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 200328800 is about 14153.7556853296. The cubic root of 200328800 is about 585.1238445281.

It can be divided in two parts, 2003 and 28800, that added together give a palindrome (30803).

The spelling of 200328800 in words is "two hundred million, three hundred twenty-eight thousand, eight hundred".