206009400 has 192 divisors, whose sum is σ = 712454400. Its totient is φ = 48936960.

The previous prime is 206009399. The next prime is 206009443. The reversal of 206009400 is 4900602.

206009400 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 47 ways as a sum of consecutive naturals, for example, 193269 + ... + 194331.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^206009400 is an apocalyptic number.

206009400 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 206009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

206009400 is an abundant number, since it is smaller than the sum of its proper divisors (506445000).

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

206009400 is a wasteful number, since it uses less digits than its factorization.

206009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 206009400 is about 14353.0275551885. The cubic root of 206009400 is about 590.6030413717.

The spelling of 206009400 in words is "two hundred six million, nine thousand, four hundred".