305448960 has 192 divisors, whose sum is σ = 999311040. Its totient is φ = 79626240.

The previous prime is 305448953. The next prime is 305449003. The reversal of 305448960 is 69844503.

305448960 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 (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873839 + ... + 1874001.

It is an arithmetic number, because the mean of its divisors is an integer number (5204745).

Almost surely, 2^305448960 is an apocalyptic number.

305448960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499655520).

305448960 is an abundant number, since it is smaller than the sum of its proper divisors (693862080).

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

305448960 is a wasteful number, since it uses less digits than its factorization.

305448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 305448960 is about 17477.0981573029. The cubic root of 305448960 is about 673.4616710137.

The spelling of 305448960 in words is "three hundred five million, four hundred forty-eight thousand, nine hundred sixty".