208384400 has 120 divisors (see below), whose sum is σ = 602431680. Its totient is φ = 67668480.

The previous prime is 208384399. The next prime is 208384441. The reversal of 208384400 is 4483802.

208384400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 51242 + ... + 55158.

It is an arithmetic number, because the mean of its divisors is an integer number (5020264).

Almost surely, 2^208384400 is an apocalyptic number.

208384400 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 208384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301215840).

208384400 is an abundant number, since it is smaller than the sum of its proper divisors (394047280).

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

208384400 is a wasteful number, since it uses less digits than its factorization.

208384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 208384400 is about 14435.5256225743. The cubic root of 208384400 is about 592.8639837739.

The spelling of 208384400 in words is "two hundred eight million, three hundred eighty-four thousand, four hundred".