204124440 has 256 divisors, whose sum is σ = 718502400. Its totient is φ = 45932544.

The previous prime is 204124421. The next prime is 204124441. The reversal of 204124440 is 44421402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204124441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140271 + ... + 1140449.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^204124440 is an apocalyptic number.

204124440 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 204124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

204124440 is an abundant number, since it is smaller than the sum of its proper divisors (514377960).

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

204124440 is a wasteful number, since it uses less digits than its factorization.

204124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 204124440 is about 14287.2124642983. The cubic root of 204124440 is about 588.7962049195.

Adding to 204124440 its reverse (44421402), we get a palindrome (248545842).

The spelling of 204124440 in words is "two hundred four million, one hundred twenty-four thousand, four hundred forty".