320050432 has 72 divisors (see below), whose sum is σ = 728591976. Its totient is φ = 139001856.

The previous prime is 320050429. The next prime is 320050439. The reversal of 320050432 is 234050023.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 315986176 = 2016^2 + 17776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320050439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53748 + ... + 59404.

It is an arithmetic number, because the mean of its divisors is an integer number (10119333).

Almost surely, 2^320050432 is an apocalyptic number.

320050432 is a gapful number since it is divisible by the number (32) 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 320050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364295988).

320050432 is an abundant number, since it is smaller than the sum of its proper divisors (408541544).

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

320050432 is a wasteful number, since it uses less digits than its factorization.

320050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 320050432 is about 17889.9533817168. The cubic root of 320050432 is about 684.0263090778.

The spelling of 320050432 in words is "three hundred twenty million, fifty thousand, four hundred thirty-two".