305327476900 has 72 divisors (see below), whose sum is σ = 672837185664. Its totient is φ = 120246768000.

The previous prime is 305327476897. The next prime is 305327476901. The reversal of 305327476900 is 9674723503.

It is a super-2 number, since 2×305327476900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305327476901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369125 + ... + 2494675.

It is an arithmetic number, because the mean of its divisors is an integer number (9344960912).

Almost surely, 2^305327476900 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 305327476900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336418592832).

305327476900 is an abundant number, since it is smaller than the sum of its proper divisors (367509708764).

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

305327476900 is a wasteful number, since it uses less digits than its factorization.

305327476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125941 (or 125934 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 305327476900 in words is "three hundred five billion, three hundred twenty-seven million, four hundred seventy-six thousand, nine hundred".