444147648 has 112 divisors (see below), whose sum is σ = 1413784320. Its totient is φ = 120213504.

The previous prime is 444147631. The next prime is 444147659. The reversal of 444147648 is 846741444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 16840 + ... + 34232.

Almost surely, 2^444147648 is an apocalyptic number.

444147648 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 444147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706892160).

444147648 is an abundant number, since it is smaller than the sum of its proper divisors (969636672).

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

444147648 is a wasteful number, since it uses less digits than its factorization.

444147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434 (or 17424 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 444147648 is about 21074.8107464812. The cubic root of 444147648 is about 762.9729169829.

The spelling of 444147648 in words is "four hundred forty-four million, one hundred forty-seven thousand, six hundred forty-eight".