306448968 has 128 divisors (see below), whose sum is σ = 902430720. Its totient is φ = 84913920.

The previous prime is 306448951. The next prime is 306449023. The reversal of 306448968 is 869844603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130673 + ... + 1130943.

It is an arithmetic number, because the mean of its divisors is an integer number (7050240).

Almost surely, 2^306448968 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 306448968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451215360).

306448968 is an abundant number, since it is smaller than the sum of its proper divisors (595981752).

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

306448968 is a wasteful number, since it uses less digits than its factorization.

306448968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 306448968 is about 17505.6838769584. The cubic root of 306448968 is about 674.1958181512.

The spelling of 306448968 in words is "three hundred six million, four hundred forty-eight thousand, nine hundred sixty-eight".