204253420 has 96 divisors (see below), whose sum is σ = 532869120. Its totient is φ = 64177920.

The previous prime is 204253393. The next prime is 204253421. The reversal of 204253420 is 24352402.

It is a junction number, because it is equal to n+sod(n) for n = 204253391 and 204253400.

It is not an unprimeable number, because it can be changed into a prime (204253421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81222 + ... + 83698.

It is an arithmetic number, because the mean of its divisors is an integer number (5550720).

Almost surely, 2^204253420 is an apocalyptic number.

204253420 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 204253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266434560).

204253420 is an abundant number, since it is smaller than the sum of its proper divisors (328615700).

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

204253420 is a wasteful number, since it uses less digits than its factorization.

204253420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 204253420 is about 14291.7255781099. The cubic root of 204253420 is about 588.9201929221.

The spelling of 204253420 in words is "two hundred four million, two hundred fifty-three thousand, four hundred twenty".