320306420 has 48 divisors (see below), whose sum is σ = 772665600. Its totient is φ = 109257984.

The previous prime is 320306417. The next prime is 320306423. The reversal of 320306420 is 24603023.

It is an interprime number because it is at equal distance from previous prime (320306417) and next prime (320306423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320306392 and 320306401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320306423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22112 + ... + 33608.

It is an arithmetic number, because the mean of its divisors is an integer number (16097200).

Almost surely, 2^320306420 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 320306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386332800).

320306420 is an abundant number, since it is smaller than the sum of its proper divisors (452359180).

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

320306420 is a wasteful number, since it uses less digits than its factorization.

320306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 320306420 is about 17897.1064700415. The cubic root of 320306420 is about 684.2086302013.

Adding to 320306420 its reverse (24603023), we get a palindrome (344909443).

The spelling of 320306420 in words is "three hundred twenty million, three hundred six thousand, four hundred twenty".