204045408 has 216 divisors, whose sum is σ = 711448920. Its totient is φ = 55157760.

The previous prime is 204045403. The next prime is 204045419. The reversal of 204045408 is 804540402.

204045408 is a `hidden beast` number, since 204 + 0 + 454 + 0 + 8 = 666.

204045408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204045403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267748 + ... + 268508.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^204045408 is an apocalyptic number.

204045408 is a gapful number since it is divisible by the number (28) 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 204045408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

204045408 is an abundant number, since it is smaller than the sum of its proper divisors (507403512).

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

204045408 is a wasteful number, since it uses less digits than its factorization.

204045408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204045408 is about 14284.4463665905. The cubic root of 204045408 is about 588.7202059382.

The spelling of 204045408 in words is "two hundred four million, forty-five thousand, four hundred eight".