205430200 has 48 divisors (see below), whose sum is σ = 494109000. Its totient is φ = 79336320.

The previous prime is 205430177. The next prime is 205430209. The reversal of 205430200 is 2034502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205430209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11910 + ... + 23509.

Almost surely, 2^205430200 is an apocalyptic number.

205430200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205430200 is an abundant number, since it is smaller than the sum of its proper divisors (288678800).

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

205430200 is a wasteful number, since it uses less digits than its factorization.

205430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35464 (or 35455 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 205430200 is about 14332.8364254951. The cubic root of 205430200 is about 590.0490239835.

Adding to 205430200 its reverse (2034502), we get a palindrome (207464702).

The spelling of 205430200 in words is "two hundred five million, four hundred thirty thousand, two hundred".