444875424 has 96 divisors (see below), whose sum is σ = 1404910080. Its totient is φ = 120413952.

The previous prime is 444875413. The next prime is 444875449. The reversal of 444875424 is 424578444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4654 + ... + 30189.

It is an arithmetic number, because the mean of its divisors is an integer number (14634480).

Almost surely, 2^444875424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702455040).

444875424 is an abundant number, since it is smaller than the sum of its proper divisors (960034656).

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

444875424 is a wasteful number, since it uses less digits than its factorization.

444875424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34882 (or 34874 counting only the distinct ones).

The product of its digits is 573440, while the sum is 42.

The square root of 444875424 is about 21092.0701686677. The cubic root of 444875424 is about 763.3894228959.

The spelling of 444875424 in words is "four hundred forty-four million, eight hundred seventy-five thousand, four hundred twenty-four".