444240 has 60 divisors (see below), whose sum is σ = 1494324. Its totient is φ = 118272.

The previous prime is 444209. The next prime is 444253. The reversal of 444240 is 42444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 374544 = 264^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412 + ... + 1028.

2⁴⁴⁴²⁴⁰ is an apocalyptic number.

444240 is a gapful number since it is divisible by the number (40) 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 444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747162).

444240 is an abundant number, since it is smaller than the sum of its proper divisors (1050084).

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

444240 is a wasteful number, since it uses less digits than its factorization.

444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444240 is about 666.5133156959. The cubic root of 444240 is about 76.3025795188.

Adding to 444240 its reverse (42444), we get a palindrome (486684).

It can be divided in two parts, 4 and 44240, that added together give a palindrome (44244).

The spelling of 444240 in words is "four hundred forty-four thousand, two hundred forty", and thus it is an iban number.