320445312 has 128 divisors (see below), whose sum is σ = 938563200. Its totient is φ = 96061440.

The previous prime is 320445289. The next prime is 320445313. The reversal of 320445312 is 213544023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320445313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451614 + ... + 452322.

It is an arithmetic number, because the mean of its divisors is an integer number (7332525).

Almost surely, 2^320445312 is an apocalyptic number.

320445312 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 320445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469281600).

320445312 is an abundant number, since it is smaller than the sum of its proper divisors (618117888).

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

320445312 is a wasteful number, since it uses less digits than its factorization.

320445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 320445312 is about 17900.9863415400. The cubic root of 320445312 is about 684.3075119456.

Adding to 320445312 its reverse (213544023), we get a palindrome (533989335).

It can be divided in two parts, 3204 and 45312, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 320445312 in words is "three hundred twenty million, four hundred forty-five thousand, three hundred twelve".