305041968 has 360 divisors, whose sum is σ = 1116574368. Its totient is φ = 76032000.

The previous prime is 305041967. The next prime is 305041991. The reversal of 305041968 is 869140503.

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

It is not an unprimeable number, because it can be changed into a prime (305041963) 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 71 ways as a sum of consecutive naturals, for example, 5000658 + ... + 5000718.

Almost surely, 2^305041968 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 305041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558287184).

305041968 is an abundant number, since it is smaller than the sum of its proper divisors (811532400).

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

305041968 is a wasteful number, since it uses less digits than its factorization.

305041968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 305041968 is about 17465.4506955876. The cubic root of 305041968 is about 673.1624226110.

The spelling of 305041968 in words is "three hundred five million, forty-one thousand, nine hundred sixty-eight".