305700864 has 112 divisors (see below), whose sum is σ = 932127168. Its totient is φ = 87293952.

The previous prime is 305700853. The next prime is 305700883. The reversal of 305700864 is 468007503.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171144 + ... + 172920.

It is an arithmetic number, because the mean of its divisors is an integer number (8322564).

Almost surely, 2^305700864 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 305700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466063584).

305700864 is an abundant number, since it is smaller than the sum of its proper divisors (626426304).

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

305700864 is an equidigital number, since it uses as much as digits as its factorization.

305700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 305700864 is about 17484.3033604430. The cubic root of 305700864 is about 673.6467549351.

The spelling of 305700864 in words is "three hundred five million, seven hundred thousand, eight hundred sixty-four".