204585480 has 256 divisors, whose sum is σ = 788486400. Its totient is φ = 46632960.

The previous prime is 204585439. The next prime is 204585487. The reversal of 204585480 is 84585402.

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

It is not an unprimeable number, because it can be changed into a prime (204585487) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 201454 + ... + 202466.

It is an arithmetic number, because the mean of its divisors is an integer number (3080025).

Almost surely, 2^204585480 is an apocalyptic number.

204585480 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 204585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394243200).

204585480 is an abundant number, since it is smaller than the sum of its proper divisors (583900920).

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

204585480 is a wasteful number, since it uses less digits than its factorization.

204585480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 204585480 is about 14303.3380719327. The cubic root of 204585480 is about 589.2391609977.

The spelling of 204585480 in words is "two hundred four million, five hundred eighty-five thousand, four hundred eighty".