305568864 has 72 divisors (see below), whose sum is σ = 877483152. Its totient is φ = 100857600.

The previous prime is 305568833. The next prime is 305568871. The reversal of 305568864 is 468865503.

305568864 is a `hidden beast` number, since 3 + 0 + 5 + 568 + 86 + 4 = 666.

305568864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24514 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (12187266).

Almost surely, 2^305568864 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 305568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438741576).

305568864 is an abundant number, since it is smaller than the sum of its proper divisors (571914288).

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

305568864 is a wasteful number, since it uses less digits than its factorization.

305568864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 305568864 is about 17480.5281384745. The cubic root of 305568864 is about 673.5497819529.

The spelling of 305568864 in words is "three hundred five million, five hundred sixty-eight thousand, eight hundred sixty-four".