323319456 has 72 divisors (see below), whose sum is σ = 921522420. Its totient is φ = 107529216.

The previous prime is 323319427. The next prime is 323319473. The reversal of 323319456 is 654913323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 288320400 + 34999056 = 16980^2 + 5916^2 .

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 323319456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162886 + ... + 164858.

Almost surely, 2^323319456 is an apocalyptic number.

323319456 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 323319456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460761210).

323319456 is an abundant number, since it is smaller than the sum of its proper divisors (598202964).

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

323319456 is a wasteful number, since it uses less digits than its factorization.

323319456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2547 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 323319456 is about 17981.0860628606. The cubic root of 323319456 is about 686.3473267159.

The spelling of 323319456 in words is "three hundred twenty-three million, three hundred nineteen thousand, four hundred fifty-six".