204641424 has 120 divisors (see below), whose sum is σ = 636283680. Its totient is φ = 62944128.

The previous prime is 204641417. The next prime is 204641467. The reversal of 204641424 is 424146402.

It is a happy number.

It is a super-2 number, since 2×204641424² = 83756224833495552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71607 + ... + 74409.

It is an arithmetic number, because the mean of its divisors is an integer number (5302364).

Almost surely, 2^204641424 is an apocalyptic number.

204641424 is a gapful number since it is divisible by the number (24) 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 204641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318141840).

204641424 is an abundant number, since it is smaller than the sum of its proper divisors (431642256).

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

204641424 is a wasteful number, since it uses less digits than its factorization.

204641424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 204641424 is about 14305.2935656700. The cubic root of 204641424 is about 589.2928653489.

Adding to 204641424 its reverse (424146402), we get a palindrome (628787826).

The spelling of 204641424 in words is "two hundred four million, six hundred forty-one thousand, four hundred twenty-four".