206483200 has 216 divisors, whose sum is σ = 638709120. Its totient is φ = 64204800.

The previous prime is 206483191. The next prime is 206483227. The reversal of 206483200 is 2384602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 492591 + ... + 493009.

Almost surely, 2^206483200 is an apocalyptic number.

206483200 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 206483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

206483200 is an abundant number, since it is smaller than the sum of its proper divisors (432225920).

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

206483200 is a wasteful number, since it uses less digits than its factorization.

206483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 206483200 is about 14369.5233045498. The cubic root of 206483200 is about 591.0554697073.

It can be divided in two parts, 2064 and 83200, that added together give a square (85264 = 292²).

The spelling of 206483200 in words is "two hundred six million, four hundred eighty-three thousand, two hundred".