206320400 has 120 divisors (see below), whose sum is σ = 582504384. Its totient is φ = 69235200.

The previous prime is 206320397. The next prime is 206320417. The reversal of 206320400 is 4023602.

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, 55397 + ... + 59003.

Almost surely, 2^206320400 is an apocalyptic number.

206320400 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 206320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291252192).

206320400 is an abundant number, since it is smaller than the sum of its proper divisors (376183984).

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

206320400 is a wasteful number, since it uses less digits than its factorization.

206320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 206320400 is about 14363.8574206235. The cubic root of 206320400 is about 590.9000912382.

The spelling of 206320400 in words is "two hundred six million, three hundred twenty thousand, four hundred".