204506460600 has 1152 divisors, whose sum is σ = 776393164800. Its totient is φ = 44281036800.

The previous prime is 204506460581. The next prime is 204506460607. The reversal of 204506460600 is 6064605402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204506460607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2297825356 + ... + 2297825444.

It is an arithmetic number, because the mean of its divisors is an integer number (673952400).

Almost surely, 2^204506460600 is an apocalyptic number.

204506460600 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 204506460600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388196582400).

204506460600 is an abundant number, since it is smaller than the sum of its proper divisors (571886704200).

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

204506460600 is a wasteful number, since it uses less digits than its factorization.

204506460600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 204506460600 in words is "two hundred four billion, five hundred six million, four hundred sixty thousand, six hundred".