448646000 has 80 divisors (see below), whose sum is σ = 1183504608. Its totient is φ = 163136000.

The previous prime is 448645999. The next prime is 448646057. The reversal of 448646000 is 646844.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11804 + ... + 32196.

Almost surely, 2^448646000 is an apocalyptic number.

448646000 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 448646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591752304).

448646000 is an abundant number, since it is smaller than the sum of its proper divisors (734858608).

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

448646000 is a wasteful number, since it uses less digits than its factorization.

448646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 448646000 is about 21181.2653068697. The cubic root of 448646000 is about 765.5400802663.

The spelling of 448646000 in words is "four hundred forty-eight million, six hundred forty-six thousand".