320361408 has 84 divisors (see below), whose sum is σ = 929460168. Its totient is φ = 105484800.

The previous prime is 320361407. The next prime is 320361421. The reversal of 320361408 is 804163023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320361401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44458 + ... + 51158.

It is an arithmetic number, because the mean of its divisors is an integer number (11065002).

Almost surely, 2^320361408 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 320361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464730084).

320361408 is an abundant number, since it is smaller than the sum of its proper divisors (609098760).

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

320361408 is a wasteful number, since it uses less digits than its factorization.

320361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320361408 is about 17898.6426300991. The cubic root of 320361408 is about 684.2477813693.

The spelling of 320361408 in words is "three hundred twenty million, three hundred sixty-one thousand, four hundred eight".