204460200032 has 96 divisors (see below), whose sum is σ = 444861777024. Its totient is φ = 91724544000.

The previous prime is 204460200031. The next prime is 204460200053. The reversal of 204460200032 is 230002064402.

It is a junction number, because it is equal to n+sod(n) for n = 204460199980 and 204460200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204460200031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35085503 + ... + 35091329.

It is an arithmetic number, because the mean of its divisors is an integer number (4633976844).

Almost surely, 2^204460200032 is an apocalyptic number.

204460200032 is a gapful number since it is divisible by the number (22) 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 204460200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222430888512).

204460200032 is an abundant number, since it is smaller than the sum of its proper divisors (240401576992).

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

204460200032 is a wasteful number, since it uses less digits than its factorization.

204460200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 204460200032 its reverse (230002064402), we get a palindrome (434462264434).

The spelling of 204460200032 in words is "two hundred four billion, four hundred sixty million, two hundred thousand, thirty-two".