444315648 has 96 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 126935040.

The previous prime is 444315637. The next prime is 444315649. The reversal of 444315648 is 846513444.

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

It is a super-3 number, since 3×444315648³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444315649) by changing a digit.

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, 37843 + ... + 48173.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^444315648 is an apocalyptic number.

444315648 is a gapful number since it is divisible by the number (48) 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 444315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

444315648 is an abundant number, since it is smaller than the sum of its proper divisors (909589632).

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

444315648 is a wasteful number, since it uses less digits than its factorization.

444315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10343 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 444315648 is about 21078.7961705596. The cubic root of 444315648 is about 763.0691036846.

The spelling of 444315648 in words is "four hundred forty-four million, three hundred fifteen thousand, six hundred forty-eight".