204400352 has 48 divisors (see below), whose sum is σ = 448338240. Its totient is φ = 91080192.

The previous prime is 204400319. The next prime is 204400373. The reversal of 204400352 is 253004402.

204400352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3593 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (9340380).

Almost surely, 2^204400352 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 204400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224169120).

204400352 is an abundant number, since it is smaller than the sum of its proper divisors (243937888).

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

204400352 is a wasteful number, since it uses less digits than its factorization.

204400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16995 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 204400352 is about 14296.8651109255. The cubic root of 204400352 is about 589.0613745337.

Adding to 204400352 its reverse (253004402), we get a palindrome (457404754).

The spelling of 204400352 in words is "two hundred four million, four hundred thousand, three hundred fifty-two".