321444000 has 144 divisors (see below), whose sum is σ = 1140932520. Its totient is φ = 85708800.

The previous prime is 321443999. The next prime is 321444017. The reversal of 321444000 is 444123.

It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 297355536 = 4908^2 + 17244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 31536 + ... + 40464.

Almost surely, 2^321444000 is an apocalyptic number.

321444000 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 321444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570466260).

321444000 is an abundant number, since it is smaller than the sum of its proper divisors (819488520).

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

321444000 is a wasteful number, since it uses less digits than its factorization.

321444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 321444000 is about 17928.8594171520. The cubic root of 321444000 is about 685.0176705265.

Adding to 321444000 its reverse (444123), we get a palindrome (321888123).

The spelling of 321444000 in words is "three hundred twenty-one million, four hundred forty-four thousand".