204466080 has 384 divisors, whose sum is σ = 823689216. Its totient is φ = 41472000.

The previous prime is 204466079. The next prime is 204466091. The reversal of 204466080 is 80664402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354005 + ... + 1354155.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^204466080 is an apocalyptic number.

204466080 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 204466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608).

204466080 is an abundant number, since it is smaller than the sum of its proper divisors (619223136).

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

204466080 is a wasteful number, since it uses less digits than its factorization.

204466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 204466080 is about 14299.1636119040. The cubic root of 204466080 is about 589.1245082747.

The spelling of 204466080 in words is "two hundred four million, four hundred sixty-six thousand, eighty".