204539904 has 168 divisors, whose sum is σ = 617665230. Its totient is φ = 67682304.

The previous prime is 204539887. The next prime is 204539957. The reversal of 204539904 is 409935402.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 36578304 = 12960^2 + 6048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492924 + ... + 1493060.

Almost surely, 2^204539904 is an apocalyptic number.

204539904 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 204539904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308832615).

204539904 is an abundant number, since it is smaller than the sum of its proper divisors (413125326).

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

204539904 is an frugal number, since it uses more digits than its factorization.

204539904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 204539904 is about 14301.7447886613. The cubic root of 204539904 is about 589.1954023393.

The spelling of 204539904 in words is "two hundred four million, five hundred thirty-nine thousand, nine hundred four".