204306464200 has 96 divisors (see below), whose sum is σ = 500850756000. Its totient is φ = 77291712000.

The previous prime is 204306464183. The next prime is 204306464207. The reversal of 204306464200 is 2464603402.

It is a super-2 number, since 2×204306464200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204306464207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239071 + ... + 2328529.

It is an arithmetic number, because the mean of its divisors is an integer number (5217195375).

Almost surely, 2^204306464200 is an apocalyptic number.

204306464200 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 204306464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250425378000).

204306464200 is an abundant number, since it is smaller than the sum of its proper divisors (296544291800).

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

204306464200 is a wasteful number, since it uses less digits than its factorization.

204306464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90095 (or 90086 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 204306464200 in words is "two hundred four billion, three hundred six million, four hundred sixty-four thousand, two hundred".