448966000 has 80 divisors (see below), whose sum is σ = 1240724160. Its totient is φ = 153926400.

The previous prime is 448965989. The next prime is 448966013. The reversal of 448966000 is 669844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035 + ... + 30034.

It is an arithmetic number, because the mean of its divisors is an integer number (15509052).

Almost surely, 2^448966000 is an apocalyptic number.

448966000 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 448966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620362080).

448966000 is an abundant number, since it is smaller than the sum of its proper divisors (791758160).

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

448966000 is a wasteful number, since it uses less digits than its factorization.

448966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32099 (or 32083 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 448966000 is about 21188.8178056257. The cubic root of 448966000 is about 765.7220460076.

The spelling of 448966000 in words is "four hundred forty-eight million, nine hundred sixty-six thousand".