444040 has 32 divisors (see below), whose sum is σ = 1059480. Its totient is φ = 166912.

The previous prime is 444029. The next prime is 444043. The reversal of 444040 is 40444.

444040 = 165² + 166² + ... + 179².

It can be written as a sum of positive squares in 4 ways, for example, as 357604 + 86436 = 598^2 + 294^2 .

It is not an unprimeable number, because it can be changed into a prime (444043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354 + ... + 1006.

2⁴⁴⁴⁰⁴⁰ is an apocalyptic number.

444040 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 444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529740).

444040 is an abundant number, since it is smaller than the sum of its proper divisors (615440).

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

444040 is a wasteful number, since it uses less digits than its factorization.

444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 444040 is about 666.3632642936. The cubic root of 444040 is about 76.2911271458.

Adding to 444040 its reverse (40444), we get a palindrome (484484).

It can be divided in two parts, 4 and 44040, that added together give a palindrome (44044).

The spelling of 444040 in words is "four hundred forty-four thousand, forty", and thus it is an iban number.