204415072 has 48 divisors (see below), whose sum is σ = 448565040. Its totient is φ = 91127808.

The previous prime is 204415067. The next prime is 204415093. The reversal of 204415072 is 270514402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (9345105).

Almost surely, 2^204415072 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 204415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224282520).

204415072 is an abundant number, since it is smaller than the sum of its proper divisors (244149968).

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

204415072 is a wasteful number, since it uses less digits than its factorization.

204415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19823 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 204415072 is about 14297.3798998278. The cubic root of 204415072 is about 589.0755147169.

Adding to 204415072 its reverse (270514402), we get a palindrome (474929474).

The spelling of 204415072 in words is "two hundred four million, four hundred fifteen thousand, seventy-two".