204424200 has 108 divisors (see below), whose sum is σ = 688567815. Its totient is φ = 54351360.

The previous prime is 204424151. The next prime is 204424247. The reversal of 204424200 is 2424402.

204424200 = 461² + 462² + ... + 892².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

204424200 is a `hidden beast` number, since 20 + 442 + 4 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 31606884 + 172817316 = 5622^2 + 13146^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10110.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 606432 + ... + 606768.

Almost surely, 2^204424200 is an apocalyptic number.

204424200 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 204424200

204424200 is an abundant number, since it is smaller than the sum of its proper divisors (484143615).

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

204424200 is a wasteful number, since it uses less digits than its factorization.

204424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204424200 is about 14297.6991155920. The cubic root of 204424200 is about 589.0842828265.

Multiplying 204424200 by its sum of digits (18), we get a square (3679635600 = 60660²).

204424200 divided by its sum of digits (18) gives a square (11356900 = 3370²).

Multiplying 204424200 by its product of nonzero digits (512), we get a square (104665190400 = 323520²).

Adding to 204424200 its reverse (2424402), we get a palindrome (206848602).

Multiplying 204424200 by its reverse (2424402), we get a square (495606439328400 = 22262220²).

It can be divided in two parts, 20442 and 4200, that added together give a palindrome (24642).

The spelling of 204424200 in words is "two hundred four million, four hundred twenty-four thousand, two hundred".