204305024 has 128 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 75340800.

The previous prime is 204305011. The next prime is 204305039. The reversal of 204305024 is 420503402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 204304987 and 204305005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 186719 + ... + 187809.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^204305024 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 204305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

204305024 is an abundant number, since it is smaller than the sum of its proper divisors (330338176).

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

204305024 is a wasteful number, since it uses less digits than its factorization.

204305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 204305024 is about 14293.5308444065. The cubic root of 204305024 is about 588.9697850393.

Adding to 204305024 its reverse (420503402), we get a palindrome (624808426).

The spelling of 204305024 in words is "two hundred four million, three hundred five thousand, twenty-four".