204042320 has 40 divisors (see below), whose sum is σ = 477886824. Its totient is φ = 81016832.

The previous prime is 204042301. The next prime is 204042337. The reversal of 204042320 is 23240402.

It can be written as a sum of positive squares in 4 ways, for example, as 80209936 + 123832384 = 8956^2 + 11128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652 + ... + 20268.

Almost surely, 2^204042320 is an apocalyptic number.

204042320 is a gapful number since it is divisible by the number (20) 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 204042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943412).

204042320 is an abundant number, since it is smaller than the sum of its proper divisors (273844504).

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

204042320 is a wasteful number, since it uses less digits than its factorization.

204042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 204042320 is about 14284.3382765881. The cubic root of 204042320 is about 588.7172360483.

Adding to 204042320 its reverse (23240402), we get a palindrome (227282722).

The spelling of 204042320 in words is "two hundred four million, forty-two thousand, three hundred twenty".