448656000 has 256 divisors, whose sum is σ = 1603929600. Its totient is φ = 110284800.

The previous prime is 448655983. The next prime is 448656011. The reversal of 448656000 is 656844.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623641 + ... + 624359.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^448656000 is an apocalyptic number.

448656000 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 448656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

448656000 is an abundant number, since it is smaller than the sum of its proper divisors (1155273600).

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

448656000 is a wasteful number, since it uses less digits than its factorization.

448656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 448656000 is about 21181.5013632179. The cubic root of 448656000 is about 765.5457680052.

The spelling of 448656000 in words is "four hundred forty-eight million, six hundred fifty-six thousand".