204971904 has 128 divisors (see below), whose sum is σ = 611020800. Its totient is φ = 67640832.

The previous prime is 204971887. The next prime is 204971911. The reversal of 204971904 is 409179402.

204971904 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438679 + ... + 439145.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^204971904 is an apocalyptic number.

204971904 is a gapful number since it is divisible by the number (24) 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 204971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

204971904 is an abundant number, since it is smaller than the sum of its proper divisors (406048896).

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

204971904 is a wasteful number, since it uses less digits than its factorization.

204971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 204971904 is about 14316.8398747768. The cubic root of 204971904 is about 589.6099154703.

The spelling of 204971904 in words is "two hundred four million, nine hundred seventy-one thousand, nine hundred four".