305666020 has 48 divisors (see below), whose sum is σ = 712152000. Its totient is φ = 109262720.

The previous prime is 305665979. The next prime is 305666027. The reversal of 305666020 is 20666503.

It is a self number, because there is not a number n which added to its sum of digits gives 305666020.

It is not an unprimeable number, because it can be changed into a prime (305666027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 24754.

It is an arithmetic number, because the mean of its divisors is an integer number (14836500).

Almost surely, 2^305666020 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 305666020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356076000).

305666020 is an abundant number, since it is smaller than the sum of its proper divisors (406485980).

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

305666020 is a wasteful number, since it uses less digits than its factorization.

305666020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23628 (or 23626 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 305666020 is about 17483.3068954360. The cubic root of 305666020 is about 673.6211597186.

The spelling of 305666020 in words is "three hundred five million, six hundred sixty-six thousand, twenty".