320425920 has 336 divisors, whose sum is σ = 1180478208. Its totient is φ = 79626240.

The previous prime is 320425907. The next prime is 320425927. The reversal of 320425920 is 29524023.

320425920 is a `hidden beast` number, since 32 + 0 + 42 + 592 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320425927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3303312 + ... + 3303408.

It is an arithmetic number, because the mean of its divisors is an integer number (3513328).

Almost surely, 2^320425920 is an apocalyptic number.

320425920 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 320425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590239104).

320425920 is an abundant number, since it is smaller than the sum of its proper divisors (860052288).

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

320425920 is a wasteful number, since it uses less digits than its factorization.

320425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 320425920 is about 17900.4446872138. Note that the first 3 decimals coincide. The cubic root of 320425920 is about 684.2937078647.

Adding to 320425920 its reverse (29524023), we get a palindrome (349949943).

The spelling of 320425920 in words is "three hundred twenty million, four hundred twenty-five thousand, nine hundred twenty".