204089472 has 192 divisors, whose sum is σ = 626535000. Its totient is φ = 63651840.

The previous prime is 204089467. The next prime is 204089491. The reversal of 204089472 is 274980402.

It can be written as a sum of positive squares in 4 ways, for example, as 82737216 + 121352256 = 9096^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369654 + ... + 1369802.

Almost surely, 2^204089472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313267500).

204089472 is an abundant number, since it is smaller than the sum of its proper divisors (422445528).

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

204089472 is a wasteful number, since it uses less digits than its factorization.

204089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 204089472 is about 14285.9886602223. The cubic root of 204089472 is about 588.7625813098.

The spelling of 204089472 in words is "two hundred four million, eighty-nine thousand, four hundred seventy-two".