444531456 has 144 divisors (see below), whose sum is σ = 1334077920. Its totient is φ = 145981440.

The previous prime is 444531449. The next prime is 444531473. The reversal of 444531456 is 654135444.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444531456.

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, 504136 + ... + 505016.

It is an arithmetic number, because the mean of its divisors is an integer number (9264430).

Almost surely, 2^444531456 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 444531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667038960).

444531456 is an abundant number, since it is smaller than the sum of its proper divisors (889546464).

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

444531456 is an equidigital number, since it uses as much as digits as its factorization.

444531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 959 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 444531456 is about 21083.9146270326. The cubic root of 444531456 is about 763.1926268027.

The spelling of 444531456 in words is "four hundred forty-four million, five hundred thirty-one thousand, four hundred fifty-six".