320212432 has 60 divisors (see below), whose sum is σ = 656124300. Its totient is φ = 151330816.

The previous prime is 320212381. The next prime is 320212469. The reversal of 320212432 is 234212023.

It can be written as a sum of positive squares in 6 ways, for example, as 11999296 + 308213136 = 3464^2 + 17556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712944 + ... + 713392.

It is an arithmetic number, because the mean of its divisors is an integer number (10935405).

Almost surely, 2^320212432 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 320212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328062150).

320212432 is an abundant number, since it is smaller than the sum of its proper divisors (335911868).

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

320212432 is a wasteful number, since it uses less digits than its factorization.

320212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 320212432 is about 17894.4804898047. The cubic root of 320212432 is about 684.1417008615.

Adding to 320212432 its reverse (234212023), we get a palindrome (554424455).

It can be divided in two parts, 32021 and 2432, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 320212432 in words is "three hundred twenty million, two hundred twelve thousand, four hundred thirty-two".