440444420 has 72 divisors (see below), whose sum is σ = 1007173440. Its totient is φ = 161715840.

The previous prime is 440444413. The next prime is 440444429. The reversal of 440444420 is 24444044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 440444420.

It is not an unprimeable number, because it can be changed into a prime (440444429) 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, 1050971 + ... + 1051389.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^440444420 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 440444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503586720).

440444420 is an abundant number, since it is smaller than the sum of its proper divisors (566729020).

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

440444420 is a wasteful number, since it uses less digits than its factorization.

440444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 440444420 is about 20986.7677358854. The cubic root of 440444420 is about 760.8464829739.

Adding to 440444420 its reverse (24444044), we get a palindrome (464888464).

The spelling of 440444420 in words is "four hundred forty million, four hundred forty-four thousand, four hundred twenty".