206234400 has 72 divisors (see below), whose sum is σ = 671300784. Its totient is φ = 54995200.

The previous prime is 206234389. The next prime is 206234419. The reversal of 206234400 is 4432602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40566 + ... + 45365.

It is an arithmetic number, because the mean of its divisors is an integer number (9323622).

Almost surely, 2^206234400 is an apocalyptic number.

206234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206234400 is an abundant number, since it is smaller than the sum of its proper divisors (465066384).

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

206234400 is a wasteful number, since it uses less digits than its factorization.

206234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85954 (or 85941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 206234400 is about 14360.8634837882. The cubic root of 206234400 is about 590.8179787081.

The spelling of 206234400 in words is "two hundred six million, two hundred thirty-four thousand, four hundred".