320943456 has 72 divisors (see below), whose sum is σ = 915196464. Its totient is φ = 106686720.

The previous prime is 320943433. The next prime is 320943457. The reversal of 320943456 is 654349023.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320943456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320943457) 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 11 ways as a sum of consecutive naturals, for example, 119925 + ... + 122571.

It is an arithmetic number, because the mean of its divisors is an integer number (12711062).

Almost surely, 2^320943456 is an apocalyptic number.

320943456 is a gapful number since it is divisible by the number (36) 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 320943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457598232).

320943456 is an abundant number, since it is smaller than the sum of its proper divisors (594253008).

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

320943456 is a wasteful number, since it uses less digits than its factorization.

320943456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 320943456 is about 17914.8948085106. The cubic root of 320943456 is about 684.6619220764.

It can be divided in two parts, 3209 and 43456, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 320943456 in words is "three hundred twenty million, nine hundred forty-three thousand, four hundred fifty-six".