309684480 has 288 divisors, whose sum is σ = 1162038528. Its totient is φ = 68812800.

The previous prime is 309684467. The next prime is 309684481. The reversal of 309684480 is 84486903.

309684480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (309684481) 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 31 ways as a sum of consecutive naturals, for example, 1101940 + ... + 1102220.

It is an arithmetic number, because the mean of its divisors is an integer number (4034856).

Almost surely, 2^309684480 is an apocalyptic number.

309684480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581019264).

309684480 is an abundant number, since it is smaller than the sum of its proper divisors (852354048).

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

309684480 is a wasteful number, since it uses less digits than its factorization.

309684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 309684480 is about 17597.8544146723. The cubic root of 309684480 is about 676.5602535416.

The spelling of 309684480 in words is "three hundred nine million, six hundred eighty-four thousand, four hundred eighty".