309042720 has 576 divisors, whose sum is σ = 1328431104. Its totient is φ = 63866880.

The previous prime is 309042703. The next prime is 309042739. The reversal of 309042720 is 27240903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7187019 + ... + 7187061.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 2^309042720 is an apocalyptic number.

309042720 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 309042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664215552).

309042720 is an abundant number, since it is smaller than the sum of its proper divisors (1019388384).

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

309042720 is a wasteful number, since it uses less digits than its factorization.

309042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 309042720 is about 17579.6109171961. The cubic root of 309042720 is about 676.0925844504.

The spelling of 309042720 in words is "three hundred nine million, forty-two thousand, seven hundred twenty".