204324540 has 192 divisors, whose sum is σ = 681053184. Its totient is φ = 44808192.

The previous prime is 204324521. The next prime is 204324559. The reversal of 204324540 is 45423402.

204324540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204324521) and next prime (204324559).

It is a self number, because there is not a number n which added to its sum of digits gives 204324540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1491352 + ... + 1491488.

It is an arithmetic number, because the mean of its divisors is an integer number (3547152).

Almost surely, 2^204324540 is an apocalyptic number.

204324540 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 204324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340526592).

204324540 is an abundant number, since it is smaller than the sum of its proper divisors (476728644).

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

204324540 is a wasteful number, since it uses less digits than its factorization.

204324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 204324540 is about 14294.2135145660. The cubic root of 204324540 is about 588.9885379936.

Adding to 204324540 its reverse (45423402), we get a palindrome (249747942).

The spelling of 204324540 in words is "two hundred four million, three hundred twenty-four thousand, five hundred forty".