305461120 has 64 divisors (see below), whose sum is σ = 733665600. Its totient is φ = 121612288.

The previous prime is 305461097. The next prime is 305461133. The reversal of 305461120 is 21164503.

305461120 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 305461091 and 305461100.

It is a congruent number.

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, 151962 + ... + 153958.

It is an arithmetic number, because the mean of its divisors is an integer number (11463525).

Almost surely, 2^305461120 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 305461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366832800).

305461120 is an abundant number, since it is smaller than the sum of its proper divisors (428204480).

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

305461120 is a wasteful number, since it uses less digits than its factorization.

305461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 305461120 is about 17477.4460376795. The cubic root of 305461120 is about 673.4706077880.

The spelling of 305461120 in words is "three hundred five million, four hundred sixty-one thousand, one hundred twenty".