309894240 has 96 divisors (see below), whose sum is σ = 1002607200. Its totient is φ = 80400384.

The previous prime is 309894121. The next prime is 309894257. The reversal of 309894240 is 42498903.

309894240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9036 + ... + 26484.

It is an arithmetic number, because the mean of its divisors is an integer number (10443825).

Almost surely, 2^309894240 is an apocalyptic number.

309894240 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 309894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501303600).

309894240 is an abundant number, since it is smaller than the sum of its proper divisors (692712960).

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

309894240 is a wasteful number, since it uses less digits than its factorization.

309894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17504 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 309894240 is about 17603.8132232764. The cubic root of 309894240 is about 676.7129716129.

The spelling of 309894240 in words is "three hundred nine million, eight hundred ninety-four thousand, two hundred forty".