309324960 has 384 divisors, whose sum is σ = 1267176960. Its totient is φ = 69009408.

The previous prime is 309324931. The next prime is 309324973. The reversal of 309324960 is 69423903.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1602624 + ... + 1602816.

It is an arithmetic number, because the mean of its divisors is an integer number (3299940).

Almost surely, 2^309324960 is an apocalyptic number.

309324960 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 309324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633588480).

309324960 is an abundant number, since it is smaller than the sum of its proper divisors (957852000).

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

309324960 is a wasteful number, since it uses less digits than its factorization.

309324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 309324960 is about 17587.6365666340. The cubic root of 309324960 is about 676.2983405890.

The spelling of 309324960 in words is "three hundred nine million, three hundred twenty-four thousand, nine hundred sixty".