305353120 has 48 divisors (see below), whose sum is σ = 727823880. Its totient is φ = 121053184.

The previous prime is 305353109. The next prime is 305353141. The reversal of 305353120 is 21353503.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65351056 + 240002064 = 8084^2 + 15492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305353091 and 305353100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9636 + ... + 26524.

Almost surely, 2^305353120 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 305353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363911940).

305353120 is an abundant number, since it is smaller than the sum of its proper divisors (422470760).

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

305353120 is a wasteful number, since it uses less digits than its factorization.

305353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17017 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 305353120 is about 17474.3560682504. The cubic root of 305353120 is about 673.3912268186.

The spelling of 305353120 in words is "three hundred five million, three hundred fifty-three thousand, one hundred twenty".