305431168 has 64 divisors (see below), whose sum is σ = 725685120. Its totient is φ = 125199360.

The previous prime is 305431123. The next prime is 305431169. The reversal of 305431168 is 861134503.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (305431169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13198 + ... + 28018.

It is an arithmetic number, because the mean of its divisors is an integer number (11338830).

Almost surely, 2^305431168 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 305431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362842560).

305431168 is an abundant number, since it is smaller than the sum of its proper divisors (420253952).

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

305431168 is a wasteful number, since it uses less digits than its factorization.

305431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14865 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 305431168 is about 17476.5891409050. The cubic root of 305431168 is about 673.4485946744.

The spelling of 305431168 in words is "three hundred five million, four hundred thirty-one thousand, one hundred sixty-eight".