204213420 has 96 divisors (see below), whose sum is σ = 643507200. Its totient is φ = 53756352.

The previous prime is 204213413. The next prime is 204213479. The reversal of 204213420 is 24312402.

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 = 204213393 and 204213402.

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 31 ways as a sum of consecutive naturals, for example, 40267 + ... + 45053.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^204213420 is an apocalyptic number.

204213420 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 204213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

204213420 is an abundant number, since it is smaller than the sum of its proper divisors (439293780).

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

204213420 is a wasteful number, since it uses less digits than its factorization.

204213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204213420 is about 14290.3260984486. The cubic root of 204213420 is about 588.8817466534.

Adding to 204213420 its reverse (24312402), we get a palindrome (228525822).

The spelling of 204213420 in words is "two hundred four million, two hundred thirteen thousand, four hundred twenty".