305419968 has 168 divisors, whose sum is σ = 1008034560. Its totient is φ = 86607360.

The previous prime is 305419963. The next prime is 305419979. The reversal of 305419968 is 869914503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305419963) 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 23 ways as a sum of consecutive naturals, for example, 850573 + ... + 850931.

Almost surely, 2^305419968 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 305419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504017280).

305419968 is an abundant number, since it is smaller than the sum of its proper divisors (702614592).

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

305419968 is a wasteful number, since it uses less digits than its factorization.

305419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 305419968 is about 17476.2687093098. The cubic root of 305419968 is about 673.4403629054.

The spelling of 305419968 in words is "three hundred five million, four hundred nineteen thousand, nine hundred sixty-eight".