305385120 has 192 divisors, whose sum is σ = 1077027840. Its totient is φ = 80815104.

The previous prime is 305385107. The next prime is 305385139. The reversal of 305385120 is 21583503.

305385120 is a `hidden beast` number, since 3 + 0 + 538 + 5 + 120 = 666.

305385120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 963202 + ... + 963518.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^305385120 is an apocalyptic number.

305385120 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 305385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538513920).

305385120 is an abundant number, since it is smaller than the sum of its proper divisors (771642720).

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

305385120 is a wasteful number, since it uses less digits than its factorization.

305385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 305385120 is about 17475.2716717080. The cubic root of 305385120 is about 673.4147490569.

The spelling of 305385120 in words is "three hundred five million, three hundred eighty-five thousand, one hundred twenty".