204024420 has 60 divisors (see below), whose sum is σ = 640037244. Its totient is φ = 54406080.

The previous prime is 204024409. The next prime is 204024427. The reversal of 204024420 is 24420402.

204024420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151142436 + 52881984 = 12294^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204024393 and 204024402.

It is not an unprimeable number, because it can be changed into a prime (204024427) 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 19 ways as a sum of consecutive naturals, for example, 61351 + ... + 64590.

Almost surely, 2^204024420 is an apocalyptic number.

204024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204024420 is an abundant number, since it is smaller than the sum of its proper divisors (436012824).

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

204024420 is a wasteful number, since it uses less digits than its factorization.

204024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125962 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204024420 is about 14283.7117024953. The cubic root of 204024420 is about 588.7000200990.

Adding to 204024420 its reverse (24420402), we get a palindrome (228444822).

The spelling of 204024420 in words is "two hundred four million, twenty-four thousand, four hundred twenty".