204416180 has 54 divisors (see below), whose sum is σ = 452001186. Its totient is φ = 77648736.

The previous prime is 204416161. The next prime is 204416189. The reversal of 204416180 is 81614402.

It can be written as a sum of positive squares in only one way, i.e., 163532944 + 40883236 = 12788^2 + 6394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204416189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1470551 + ... + 1470689.

Almost surely, 2^204416180 is an apocalyptic number.

204416180 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 204416180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226000593).

204416180 is an abundant number, since it is smaller than the sum of its proper divisors (247585006).

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

204416180 is a wasteful number, since it uses less digits than its factorization.

204416180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 204416180 is about 14297.4186481337. The cubic root of 204416180 is about 589.0765790456.

The spelling of 204416180 in words is "two hundred four million, four hundred sixteen thousand, one hundred eighty".