204023872 has 56 divisors (see below), whose sum is σ = 446711832. Its totient is φ = 91852800.

The previous prime is 204023861. The next prime is 204023879. The reversal of 204023872 is 278320402.

It can be written as a sum of positive squares in 4 ways, for example, as 30206016 + 173817856 = 5496^2 + 13184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204023872.

It is not an unprimeable number, because it can be changed into a prime (204023879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31122 + ... + 37102.

It is an arithmetic number, because the mean of its divisors is an integer number (7976997).

Almost surely, 2^204023872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223355916).

204023872 is an abundant number, since it is smaller than the sum of its proper divisors (242687960).

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

204023872 is a wasteful number, since it uses less digits than its factorization.

204023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 204023872 is about 14283.6925197933. The cubic root of 204023872 is about 588.6994930250.

It can be divided in two parts, 20402 and 3872, that multiplied together give a square (78996544 = 8888²).

The spelling of 204023872 in words is "two hundred four million, twenty-three thousand, eight hundred seventy-two".