444682040 has 64 divisors (see below), whose sum is σ = 1114767360. Its totient is φ = 158254720.

The previous prime is 444682037. The next prime is 444682097. The reversal of 444682040 is 40286444.

Added to its reverse (40286444) it gives a square (484968484 = 22022²).

It is a junction number, because it is equal to n+sod(n) for n = 444681988 and 444682006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9929 + ... + 31431.

It is an arithmetic number, because the mean of its divisors is an integer number (17418240).

Almost surely, 2^444682040 is an apocalyptic number.

444682040 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 444682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

444682040 is an abundant number, since it is smaller than the sum of its proper divisors (670085320).

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

444682040 is a wasteful number, since it uses less digits than its factorization.

444682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 444682040 is about 21087.4853882581. The cubic root of 444682040 is about 763.2787936514.

Adding to 444682040 its reverse (40286444), we get a square (484968484 = 22022²).

The spelling of 444682040 in words is "four hundred forty-four million, six hundred eighty-two thousand, forty".