320009448 has 96 divisors (see below), whose sum is σ = 901320480. Its totient is φ = 93830400.

The previous prime is 320009447. The next prime is 320009449. The reversal of 320009448 is 844900023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320009447) and next prime (320009449).

It is not an unprimeable number, because it can be changed into a prime (320009441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767918 + ... + 1768098.

It is an arithmetic number, because the mean of its divisors is an integer number (9388755).

Almost surely, 2^320009448 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 320009448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450660240).

320009448 is an abundant number, since it is smaller than the sum of its proper divisors (581311032).

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

320009448 is a wasteful number, since it uses less digits than its factorization.

320009448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 320009448 is about 17888.8078976773. The cubic root of 320009448 is about 683.9971102097.

The spelling of 320009448 in words is "three hundred twenty million, nine thousand, four hundred forty-eight".