320433040 has 80 divisors (see below), whose sum is σ = 768450816. Its totient is φ = 124185600.

The previous prime is 320433031. The next prime is 320433041. The reversal of 320433040 is 40334023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 320432999 and 320433017.

It is not an unprimeable number, because it can be changed into a prime (320433041) 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 15 ways as a sum of consecutive naturals, for example, 691849 + ... + 692311.

Almost surely, 2^320433040 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 320433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384225408).

320433040 is an abundant number, since it is smaller than the sum of its proper divisors (448017776).

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

320433040 is a wasteful number, since it uses less digits than its factorization.

320433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 320433040 is about 17900.6435638499. The cubic root of 320433040 is about 684.2987762595.

Adding to 320433040 its reverse (40334023), we get a palindrome (360767063).

The spelling of 320433040 in words is "three hundred twenty million, four hundred thirty-three thousand, forty".