205041200 has 240 divisors, whose sum is σ = 625126656. Its totient is φ = 62899200.

The previous prime is 205041181. The next prime is 205041227. The reversal of 205041200 is 2140502.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565135 + ... + 1565265.

Almost surely, 2^205041200 is an apocalyptic number.

205041200 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 205041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312563328).

205041200 is an abundant number, since it is smaller than the sum of its proper divisors (420085456).

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

205041200 is a wasteful number, since it uses less digits than its factorization.

205041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 205041200 is about 14319.2597574037. The cubic root of 205041200 is about 589.6763522265.

Adding to 205041200 its reverse (2140502), we get a palindrome (207181702).

The spelling of 205041200 in words is "two hundred five million, forty-one thousand, two hundred".