309130560 has 224 divisors, whose sum is σ = 1121176320. Its totient is φ = 80123904.

The previous prime is 309130537. The next prime is 309130607. The reversal of 309130560 is 65031903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 319197 + ... + 320163.

Almost surely, 2^309130560 is an apocalyptic number.

309130560 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 309130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560588160).

309130560 is an abundant number, since it is smaller than the sum of its proper divisors (812045760).

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

309130560 is a wasteful number, since it uses less digits than its factorization.

309130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 309130560 is about 17582.1090885024. The cubic root of 309130560 is about 676.1566342220.

The spelling of 309130560 in words is "three hundred nine million, one hundred thirty thousand, five hundred sixty".