305059840 has 96 divisors (see below), whose sum is σ = 756362880. Its totient is φ = 118087680.

The previous prime is 305059829. The next prime is 305059897. The reversal of 305059840 is 48950503.

305059840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 305059796 and 305059805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9840625 + ... + 9840655.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2^305059840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378181440).

305059840 is an abundant number, since it is smaller than the sum of its proper divisors (451303040).

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

305059840 is an frugal number, since it uses more digits than its factorization.

305059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 305059840 is about 17465.9623267657. The cubic root of 305059840 is about 673.1755689155.

The spelling of 305059840 in words is "three hundred five million, fifty-nine thousand, eight hundred forty".