205804428 has 48 divisors (see below), whose sum is σ = 506970240. Its totient is φ = 64800000.

The previous prime is 205804427. The next prime is 205804429. The reversal of 205804428 is 824408502.

It is a happy number.

205804428 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205804427) and next prime (205804429).

It is not an unprimeable number, because it can be changed into a prime (205804427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90303 + ... + 92553.

It is an arithmetic number, because the mean of its divisors is an integer number (10561880).

Almost surely, 2^205804428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205804428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253485120).

205804428 is an abundant number, since it is smaller than the sum of its proper divisors (301165812).

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

205804428 is a wasteful number, since it uses less digits than its factorization.

205804428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 205804428 is about 14345.8854031391. The cubic root of 205804428 is about 590.4071000571.

The spelling of 205804428 in words is "two hundred five million, eight hundred four thousand, four hundred twenty-eight".