309450768 has 80 divisors (see below), whose sum is σ = 877878336. Its totient is φ = 93150720.

The previous prime is 309450767. The next prime is 309450863. The reversal of 309450768 is 867054903.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (309450767) 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 15 ways as a sum of consecutive naturals, for example, 81030 + ... + 84762.

Almost surely, 2^309450768 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 309450768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438939168).

309450768 is an abundant number, since it is smaller than the sum of its proper divisors (568427568).

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

309450768 is a wasteful number, since it uses less digits than its factorization.

309450768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 309450768 is about 17591.2128063985. The cubic root of 309450768 is about 676.3900157098.

The spelling of 309450768 in words is "three hundred nine million, four hundred fifty thousand, seven hundred sixty-eight".