306449920 has 160 divisors (see below), whose sum is σ = 859320000. Its totient is φ = 104767488.

The previous prime is 306449887. The next prime is 306449929. The reversal of 306449920 is 29944603.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 306449920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306449929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877906 + ... + 878254.

It is an arithmetic number, because the mean of its divisors is an integer number (5370750).

Almost surely, 2^306449920 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 306449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660000).

306449920 is an abundant number, since it is smaller than the sum of its proper divisors (552870080).

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

306449920 is an frugal number, since it uses more digits than its factorization.

306449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 306449920 is about 17505.7110681057. The cubic root of 306449920 is about 674.1965162922.

The spelling of 306449920 in words is "three hundred six million, four hundred forty-nine thousand, nine hundred twenty".