305980320 has 48 divisors (see below), whose sum is σ = 963839520. Its totient is φ = 81594624.

The previous prime is 305980277. The next prime is 305980333. The reversal of 305980320 is 23089503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 318250 + ... + 319209.

It is an arithmetic number, because the mean of its divisors is an integer number (20079990).

Almost surely, 2^305980320 is an apocalyptic number.

305980320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305980320 is an abundant number, since it is smaller than the sum of its proper divisors (657859200).

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

305980320 is a wasteful number, since it uses less digits than its factorization.

305980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637477 (or 637469 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 305980320 is about 17492.2931601320. The cubic root of 305980320 is about 673.8519634844.

The spelling of 305980320 in words is "three hundred five million, nine hundred eighty thousand, three hundred twenty".