309828960 has 216 divisors, whose sum is σ = 1230190416. Its totient is φ = 70801920.

The previous prime is 309828949. The next prime is 309828979. The reversal of 309828960 is 69828903.

309828960 is a `hidden beast` number, since 309 + 8 + 289 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68365 + ... + 72755.

It is an arithmetic number, because the mean of its divisors is an integer number (5695326).

Almost surely, 2^309828960 is an apocalyptic number.

309828960 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 309828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615095208).

309828960 is an abundant number, since it is smaller than the sum of its proper divisors (920361456).

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

309828960 is a wasteful number, since it uses less digits than its factorization.

309828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 309828960 is about 17601.9589818861. The cubic root of 309828960 is about 676.6654511803.

The spelling of 309828960 in words is "three hundred nine million, eight hundred twenty-eight thousand, nine hundred sixty".