204954064 has 60 divisors (see below), whose sum is σ = 486278400. Its totient is φ = 83208384.

The previous prime is 204954031. The next prime is 204954077. The reversal of 204954064 is 460459402.

204954064 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 11 ways as a sum of consecutive naturals, for example, 8017 + ... + 21775.

It is an arithmetic number, because the mean of its divisors is an integer number (8104640).

Almost surely, 2^204954064 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 204954064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243139200).

204954064 is an abundant number, since it is smaller than the sum of its proper divisors (281324336).

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

204954064 is a wasteful number, since it uses less digits than its factorization.

204954064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13800 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 204954064 is about 14316.2168186990. The cubic root of 204954064 is about 589.5928091485.

The spelling of 204954064 in words is "two hundred four million, nine hundred fifty-four thousand, sixty-four".