305376960 has 224 divisors, whose sum is σ = 1147023360. Its totient is φ = 67350528.

The previous prime is 305376943. The next prime is 305376983. The reversal of 305376960 is 69673503.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194097 + ... + 195663.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2^305376960 is an apocalyptic number.

305376960 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 305376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

305376960 is an abundant number, since it is smaller than the sum of its proper divisors (841646400).

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

305376960 is a wasteful number, since it uses less digits than its factorization.

305376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 305376960 is about 17475.0381973831. The cubic root of 305376960 is about 673.4087510422.

The spelling of 305376960 in words is "three hundred five million, three hundred seventy-six thousand, nine hundred sixty".