204442434 has 128 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 56225664.

The previous prime is 204442409. The next prime is 204442457. The reversal of 204442434 is 434244402.

It is a happy number.

204442434 is a `hidden beast` number, since 204 + 4 + 424 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204442398 and 204442407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1984827 + ... + 1984929.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^204442434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204442434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

204442434 is an abundant number, since it is smaller than the sum of its proper divisors (334693566).

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

204442434 is a wasteful number, since it uses less digits than its factorization.

204442434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 204442434 is about 14298.3367564203. The cubic root of 204442434 is about 589.1017971317.

Adding to 204442434 its reverse (434244402), we get a palindrome (638686836).

The spelling of 204442434 in words is "two hundred four million, four hundred forty-two thousand, four hundred thirty-four".