305032806 has 48 divisors (see below), whose sum is σ = 714430080. Its totient is φ = 93502080.

The previous prime is 305032801. The next prime is 305032807. The reversal of 305032806 is 608230503.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 305032806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305032801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63435 + ... + 68073.

It is an arithmetic number, because the mean of its divisors is an integer number (14883960).

Almost surely, 2^305032806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305032806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357215040).

305032806 is an abundant number, since it is smaller than the sum of its proper divisors (409397274).

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

305032806 is a wasteful number, since it uses less digits than its factorization.

305032806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 305032806 is about 17465.1884043660. The cubic root of 305032806 is about 673.1556830182.

The spelling of 305032806 in words is "three hundred five million, thirty-two thousand, eight hundred six".