204055040 has 160 divisors (see below), whose sum is σ = 571570560. Its totient is φ = 68419584.

The previous prime is 204055039. The next prime is 204055043. The reversal of 204055040 is 40550402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204055043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057184 + ... + 1057376.

It is an arithmetic number, because the mean of its divisors is an integer number (3572316).

Almost surely, 2^204055040 is an apocalyptic number.

204055040 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 204055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285785280).

204055040 is an abundant number, since it is smaller than the sum of its proper divisors (367515520).

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

204055040 is an equidigital number, since it uses as much as digits as its factorization.

204055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 204055040 is about 14284.7835125353. The cubic root of 204055040 is about 588.7294693400.

The spelling of 204055040 in words is "two hundred four million, fifty-five thousand, forty".