448320000 has 200 divisors, whose sum is σ = 1495658736. Its totient is φ = 119296000.

The previous prime is 448319983. The next prime is 448320011. The reversal of 448320000 is 23844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 959767 + ... + 960233.

Almost surely, 2^448320000 is an apocalyptic number.

448320000 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 448320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747829368).

448320000 is an abundant number, since it is smaller than the sum of its proper divisors (1047338736).

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

448320000 is an frugal number, since it uses more digits than its factorization.

448320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 448320000 is about 21173.5684285857. The cubic root of 448320000 is about 765.3546136712.

Adding to 448320000 its reverse (23844), we get a palindrome (448343844).

The spelling of 448320000 in words is "four hundred forty-eight million, three hundred twenty thousand".