204411120 has 160 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 49370112.

The previous prime is 204411113. The next prime is 204411149. The reversal of 204411120 is 21114402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204411120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103906 + ... + 105854.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^204411120 is an apocalyptic number.

204411120 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 204411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

204411120 is an abundant number, since it is smaller than the sum of its proper divisors (491972880).

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

204411120 is a wasteful number, since it uses less digits than its factorization.

204411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 204411120 is about 14297.2416920188. The cubic root of 204411120 is about 589.0717184518.

Adding to 204411120 its reverse (21114402), we get a palindrome (225525522).

The spelling of 204411120 in words is "two hundred four million, four hundred eleven thousand, one hundred twenty".