321444 has 18 divisors (see below), whose sum is σ = 812630. Its totient is φ = 107136.

The previous prime is 321443. The next prime is 321449. The reversal of 321444 is 444123.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 129600 = 438^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (321443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4429 + ... + 4500.

2³²¹⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

321444 is an abundant number, since it is smaller than the sum of its proper divisors (491186).

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

321444 is a wasteful number, since it uses less digits than its factorization.

321444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8939 (or 8934 counting only the distinct ones).

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

The square root of 321444 is about 566.9603160716. The cubic root of 321444 is about 68.5017670526.

Adding to 321444 its reverse (444123), we get a palindrome (765567).

The spelling of 321444 in words is "three hundred twenty-one thousand, four hundred forty-four", and thus it is an iban number.