444382848 has 384 divisors, whose sum is σ = 1642542720. Its totient is φ = 116453376.

The previous prime is 444382837. The next prime is 444382853. The reversal of 444382848 is 848283444.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×444382848² = 394952231193182208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830386 + ... + 2830542.

It is an arithmetic number, because the mean of its divisors is an integer number (4277455).

Almost surely, 2^444382848 is an apocalyptic number.

444382848 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 444382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821271360).

444382848 is an abundant number, since it is smaller than the sum of its proper divisors (1198159872).

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

444382848 is a wasteful number, since it uses less digits than its factorization.

444382848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 444382848 is about 21080.3901292172. The cubic root of 444382848 is about 763.1075715764.

The spelling of 444382848 in words is "four hundred forty-four million, three hundred eighty-two thousand, eight hundred forty-eight".