444423126 has 48 divisors (see below), whose sum is σ = 1035627264. Its totient is φ = 124549152.

The previous prime is 444423121. The next prime is 444423139. The reversal of 444423126 is 621324444.

It is a super-3 number, since 3×444423126³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444423093 and 444423102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444423121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116095 + ... + 119861.

It is an arithmetic number, because the mean of its divisors is an integer number (21575568).

Almost surely, 2^444423126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444423126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517813632).

444423126 is an abundant number, since it is smaller than the sum of its proper divisors (591204138).

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

444423126 is a wasteful number, since it uses less digits than its factorization.

444423126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3832 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 444423126 is about 21081.3454504213. The cubic root of 444423126 is about 763.1306264103.

The spelling of 444423126 in words is "four hundred forty-four million, four hundred twenty-three thousand, one hundred twenty-six".