448844000 has 144 divisors (see below), whose sum is σ = 1215094608. Its totient is φ = 161600000.

The previous prime is 448843963. The next prime is 448844029. The reversal of 448844000 is 448844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443950 + ... + 4444050.

It is an arithmetic number, because the mean of its divisors is an integer number (8438157).

Almost surely, 2^448844000 is an apocalyptic number.

448844000 is a gapful number since it is divisible by the number (40) 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 448844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607547304).

448844000 is an abundant number, since it is smaller than the sum of its proper divisors (766250608).

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

448844000 is a wasteful number, since it uses less digits than its factorization.

448844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 448844000 is about 21185.9387330371. The cubic root of 448844000 is about 765.6526817702.

448844000 divided by its reverse (448844) gives a cube (1000 = 10³).

It can be divided in two parts, 44884 and 4000, that added together give a palindrome (48884).

The spelling of 448844000 in words is "four hundred forty-eight million, eight hundred forty-four thousand".