444004848 has 320 divisors, whose sum is σ = 1549900800. Its totient is φ = 119024640.

The previous prime is 444004843. The next prime is 444004849. The reversal of 444004848 is 848400444.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444004843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5349415 + ... + 5349497.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^444004848 is an apocalyptic number.

444004848 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 444004848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774950400).

444004848 is an abundant number, since it is smaller than the sum of its proper divisors (1105895952).

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

444004848 is a wasteful number, since it uses less digits than its factorization.

444004848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 444004848 is about 21071.4225433405. The cubic root of 444004848 is about 762.8911392139.

The spelling of 444004848 in words is "four hundred forty-four million, four thousand, eight hundred forty-eight".