444248448 has 256 divisors, whose sum is σ = 1439424000. Its totient is φ = 118702080.

The previous prime is 444248429. The next prime is 444248459. The reversal of 444248448 is 844842444.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195963 + ... + 3196101.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2^444248448 is an apocalyptic number.

444248448 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 444248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

444248448 is an abundant number, since it is smaller than the sum of its proper divisors (995175552).

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

444248448 is a wasteful number, since it uses less digits than its factorization.

444248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The square root of 444248448 is about 21077.2020913593. The cubic root of 444248448 is about 763.0306319140.

The spelling of 444248448 in words is "four hundred forty-four million, two hundred forty-eight thousand, four hundred forty-eight".