205000040 has 64 divisors (see below), whose sum is σ = 533554560. Its totient is φ = 69431040.

The previous prime is 205000021. The next prime is 205000067. The reversal of 205000040 is 40000502.

It is a junction number, because it is equal to n+sod(n) for n = 204999985 and 205000030.

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 15 ways as a sum of consecutive naturals, for example, 18830 + ... + 27650.

It is an arithmetic number, because the mean of its divisors is an integer number (8336790).

Almost surely, 2^205000040 is an apocalyptic number.

205000040 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 205000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266777280).

205000040 is an abundant number, since it is smaller than the sum of its proper divisors (328554520).

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

205000040 is a wasteful number, since it uses less digits than its factorization.

205000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 205000040 is about 14317.8224601369. The cubic root of 205000040 is about 589.6368923474.

Adding to 205000040 its reverse (40000502), we get a palindrome (245000542).

The spelling of 205000040 in words is "two hundred five million, forty", and thus it is an aban number.