444124032 has 64 divisors (see below), whose sum is σ = 1286962560. Its totient is φ = 134581760.

The previous prime is 444124027. The next prime is 444124091. The reversal of 444124032 is 230421444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 444123993 and 444124011.

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 7 ways as a sum of consecutive naturals, for example, 48348 + ... + 56795.

It is an arithmetic number, because the mean of its divisors is an integer number (20108790).

Almost surely, 2^444124032 is an apocalyptic number.

It is an amenable number.

444124032 is an abundant number, since it is smaller than the sum of its proper divisors (842838528).

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

444124032 is a wasteful number, since it uses less digits than its factorization.

444124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105171 (or 105159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444124032 is about 21074.2504493042. The cubic root of 444124032 is about 762.9593939365.

Adding to 444124032 its reverse (230421444), we get a palindrome (674545476).

The spelling of 444124032 in words is "four hundred forty-four million, one hundred twenty-four thousand, thirty-two".