440440 has 96 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 126720.

The previous prime is 440431. The next prime is 440441. The reversal of 440440 is 44044.

440440 = T₃₅ + T₃₆ + ... + T₁₃₈.

440440 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33874 + ... + 33886.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2⁴⁴⁰⁴⁴⁰ is an apocalyptic number.

440440 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 440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

440440 is an abundant number, since it is smaller than the sum of its proper divisors (900200).

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

440440 is a wasteful number, since it uses less digits than its factorization.

440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

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

The square root of 440440 is about 663.6565376759. The cubic root of 440440 is about 76.0843937853.

Adding to 440440 its reverse (44044), we get a palindrome (484484).

It can be divided in two parts, 4404 and 40, that added together give a palindrome (4444).

The spelling of 440440 in words is "four hundred forty thousand, four hundred forty", and thus it is an iban number.