448080000 has 160 divisors (see below), whose sum is σ = 1488086160. Its totient is φ = 119424000.

The previous prime is 448079971. The next prime is 448080007. The reversal of 448080000 is 80844.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (448080007) by changing a digit.

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, 239067 + ... + 240933.

Almost surely, 2^448080000 is an apocalyptic number.

448080000 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 448080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744043080).

448080000 is an abundant number, since it is smaller than the sum of its proper divisors (1040006160).

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

448080000 is an equidigital number, since it uses as much as digits as its factorization.

448080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 448080000 is about 21167.9002265222. The cubic root of 448080000 is about 765.2180163787.

The spelling of 448080000 in words is "four hundred forty-eight million, eighty thousand".