404444440 has 64 divisors (see below), whose sum is σ = 948024000. Its totient is φ = 155097600.

The previous prime is 404444437. The next prime is 404444461. The reversal of 404444440 is 44444404.

It is a junction number, because it is equal to n+sod(n) for n = 404444399 and 404444408.

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, 174006 + ... + 176314.

It is an arithmetic number, because the mean of its divisors is an integer number (14812875).

Almost surely, 2^404444440 is an apocalyptic number.

404444440 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 404444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474012000).

404444440 is an abundant number, since it is smaller than the sum of its proper divisors (543579560).

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

404444440 is a wasteful number, since it uses less digits than its factorization.

404444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 404444440 is about 20110.8040614989. The cubic root of 404444440 is about 739.5251640891.

Adding to 404444440 its reverse (44444404), we get a palindrome (448888844).

It can be divided in two parts, 4044 and 44440, that added together give a palindrome (48484).

The spelling of 404444440 in words is "four hundred four million, four hundred forty-four thousand, four hundred forty".