320129440 has 48 divisors (see below), whose sum is σ = 764837640. Its totient is φ = 126607360.

The previous prime is 320129413. The next prime is 320129449. The reversal of 320129440 is 44921023.

320129440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116553616 + 203575824 = 10796^2 + 14268^2 .

It is not an unprimeable number, because it can be changed into a prime (320129449) 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 7 ways as a sum of consecutive naturals, for example, 3000 + ... + 25480.

Almost surely, 2^320129440 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 320129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382418820).

320129440 is an abundant number, since it is smaller than the sum of its proper divisors (444708200).

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

320129440 is a wasteful number, since it uses less digits than its factorization.

320129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 320129440 is about 17892.1614121939. The cubic root of 320129440 is about 684.0825909412.

The spelling of 320129440 in words is "three hundred twenty million, one hundred twenty-nine thousand, four hundred forty".