204141840 has 120 divisors (see below), whose sum is σ = 736202880. Its totient is φ = 46658304.

The previous prime is 204141823. The next prime is 204141853. The reversal of 204141840 is 48141402.

204141840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204141840.

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, 3081 + ... + 20439.

It is an arithmetic number, because the mean of its divisors is an integer number (6135024).

Almost surely, 2^204141840 is an apocalyptic number.

204141840 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 204141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368101440).

204141840 is an abundant number, since it is smaller than the sum of its proper divisors (532061040).

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

204141840 is a wasteful number, since it uses less digits than its factorization.

204141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17389 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204141840 is about 14287.8213874614. The cubic root of 204141840 is about 588.8129345231.

The spelling of 204141840 in words is "two hundred four million, one hundred forty-one thousand, eight hundred forty".