204381408 has 192 divisors, whose sum is σ = 685504512. Its totient is φ = 51770880.

The previous prime is 204381407. The next prime is 204381413. The reversal of 204381408 is 804183402.

It is a super-3 number, since 3×204381408³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204381407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317535 + ... + 318177.

It is an arithmetic number, because the mean of its divisors is an integer number (3570336).

Almost surely, 2^204381408 is an apocalyptic number.

204381408 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 204381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342752256).

204381408 is an abundant number, since it is smaller than the sum of its proper divisors (481123104).

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

204381408 is a wasteful number, since it uses less digits than its factorization.

204381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 204381408 is about 14296.2025727114. The cubic root of 204381408 is about 589.0431757336.

The spelling of 204381408 in words is "two hundred four million, three hundred eighty-one thousand, four hundred eight".