305966976 has 256 divisors, whose sum is σ = 998784000. Its totient is φ = 82790400.

The previous prime is 305966971. The next prime is 305967007. The reversal of 305966976 is 679669503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305966971) 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 31 ways as a sum of consecutive naturals, for example, 3029326 + ... + 3029426.

It is an arithmetic number, because the mean of its divisors is an integer number (3901500).

Almost surely, 2^305966976 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 305966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499392000).

305966976 is an abundant number, since it is smaller than the sum of its proper divisors (692817024).

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

305966976 is a wasteful number, since it uses less digits than its factorization.

305966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 305966976 is about 17491.9117308543. The cubic root of 305966976 is about 673.8421676351.

The spelling of 305966976 in words is "three hundred five million, nine hundred sixty-six thousand, nine hundred seventy-six".