440505044 has 48 divisors (see below), whose sum is σ = 936499200. Its totient is φ = 177093216.

The previous prime is 440505031. The next prime is 440505083.

440505044 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50777 + ... + 58815.

It is an arithmetic number, because the mean of its divisors is an integer number (19510400).

Almost surely, 2^440505044 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 440505044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468249600).

440505044 is an abundant number, since it is smaller than the sum of its proper divisors (495994156).

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

440505044 is a wasteful number, since it uses less digits than its factorization.

440505044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 440505044 is about 20988.2120248486. The cubic root of 440505044 is about 760.8813897174.

It can be divided in two parts, 44050 and 5044, that added together give a palindrome (49094).

The spelling of 440505044 in words is "four hundred forty million, five hundred five thousand, forty-four".