323280000 has 240 divisors, whose sum is σ = 1165056750. Its totient is φ = 86016000.

The previous prime is 323279993. The next prime is 323280011. The reversal of 323280000 is 82323.

It can be written as a sum of positive squares in 5 ways, for example, as 8714304 + 314565696 = 2952^2 + 17736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 719776 + ... + 720224.

Almost surely, 2^323280000 is an apocalyptic number.

323280000 is a gapful number since it is divisible by the number (30) 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 323280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582528375).

323280000 is an abundant number, since it is smaller than the sum of its proper divisors (841776750).

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

323280000 is an equidigital number, since it uses as much as digits as its factorization.

323280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 323280000 is about 17979.9888765260. The cubic root of 323280000 is about 686.3194063198.

The spelling of 323280000 in words is "three hundred twenty-three million, two hundred eighty thousand".