440400444 has 48 divisors (see below), whose sum is σ = 1131532416. Its totient is φ = 132203200.

The previous prime is 440400421. The next prime is 440400461. The reversal of 440400444 is 444004044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (23573592).

Almost surely, 2^440400444 is an apocalyptic number.

440400444 is a gapful number since it is divisible by the number (44) 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 440400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565766208).

440400444 is an abundant number, since it is smaller than the sum of its proper divisors (691131972).

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

440400444 is a wasteful number, since it uses less digits than its factorization.

440400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31304 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 440400444 is about 20985.7200019442. The cubic root of 440400444 is about 760.8211599918.

Adding to 440400444 its reverse (444004044), we get a palindrome (884404488).

The spelling of 440400444 in words is "four hundred forty million, four hundred thousand, four hundred forty-four".