320393472 has 144 divisors (see below), whose sum is σ = 991519872. Its totient is φ = 89948160.

The previous prime is 320393467. The next prime is 320393477. The reversal of 320393472 is 274393023.

It is an interprime number because it is at equal distance from previous prime (320393467) and next prime (320393477).

It is not an unprimeable number, because it can be changed into a prime (320393477) 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, 327448 + ... + 328424.

Almost surely, 2^320393472 is an apocalyptic number.

320393472 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 320393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495759936).

320393472 is an abundant number, since it is smaller than the sum of its proper divisors (671126400).

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

320393472 is an equidigital number, since it uses as much as digits as its factorization.

320393472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 320393472 is about 17899.5383180684. The cubic root of 320393472 is about 684.2706087016.

It can be divided in two parts, 32039 and 3472, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 320393472 in words is "three hundred twenty million, three hundred ninety-three thousand, four hundred seventy-two".