305349912 has 192 divisors, whose sum is σ = 1032595200. Its totient is φ = 82581120.

The previous prime is 305349911. The next prime is 305349949. The reversal of 305349912 is 219943503.

It is a happy number.

305349912 is a `hidden beast` number, since 30 + 534 + 9 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305349911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257962 + ... + 259142.

It is an arithmetic number, because the mean of its divisors is an integer number (5378100).

Almost surely, 2^305349912 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 305349912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516297600).

305349912 is an abundant number, since it is smaller than the sum of its proper divisors (727245288).

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

305349912 is a wasteful number, since it uses less digits than its factorization.

305349912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 305349912 is about 17474.2642763580. The cubic root of 305349912 is about 673.3888686236.

The spelling of 305349912 in words is "three hundred five million, three hundred forty-nine thousand, nine hundred twelve".