200505384 has 96 divisors (see below), whose sum is σ = 559278720. Its totient is φ = 64862208.

The previous prime is 200505367. The next prime is 200505419. The reversal of 200505384 is 483505002.

200505384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652959 + ... + 653265.

It is an arithmetic number, because the mean of its divisors is an integer number (5825820).

Almost surely, 2^200505384 is an apocalyptic number.

200505384 is a gapful number since it is divisible by the number (24) 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 200505384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279639360).

200505384 is an abundant number, since it is smaller than the sum of its proper divisors (358773336).

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

200505384 is a wasteful number, since it uses less digits than its factorization.

200505384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 200505384 is about 14159.9923728793. The cubic root of 200505384 is about 585.2957172442.

The spelling of 200505384 in words is "two hundred million, five hundred five thousand, three hundred eighty-four".