440420 has 36 divisors (see below), whose sum is σ = 992124. Its totient is φ = 164160.

The previous prime is 440399. The next prime is 440431. The reversal of 440420 is 24044.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 369664 = 266^2 + 608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440395 and 440404.

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, 7190 + ... + 7250.

It is an arithmetic number, because the mean of its divisors is an integer number (27559).

2⁴⁴⁰⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496062).

440420 is an abundant number, since it is smaller than the sum of its proper divisors (551704).

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

440420 is a wasteful number, since it uses less digits than its factorization.

440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 440420 is about 663.6414694698. The cubic root of 440420 is about 76.0832421257.

Adding to 440420 its reverse (24044), we get a palindrome (464464).

The spelling of 440420 in words is "four hundred forty thousand, four hundred twenty", and thus it is an iban number.