204936480 has 336 divisors, whose sum is σ = 832918464. Its totient is φ = 46656000.

The previous prime is 204936449. The next prime is 204936499. The reversal of 204936480 is 84639402.

It is a happy number.

204936480 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 816355 + ... + 816605.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 2^204936480 is an apocalyptic number.

204936480 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 204936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416459232).

204936480 is an abundant number, since it is smaller than the sum of its proper divisors (627981984).

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

204936480 is an equidigital number, since it uses as much as digits as its factorization.

204936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204936480 is about 14315.6026767999. The cubic root of 204936480 is about 589.5759473271.

The spelling of 204936480 in words is "two hundred four million, nine hundred thirty-six thousand, four hundred eighty".