448845600 has 144 divisors (see below), whose sum is σ = 1669768128. Its totient is φ = 102589440.

The previous prime is 448845587. The next prime is 448845623. The reversal of 448845600 is 6548844.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3442 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (11595612).

Almost surely, 2^448845600 is an apocalyptic number.

448845600 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 448845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834884064).

448845600 is an abundant number, since it is smaller than the sum of its proper divisors (1220922528).

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

448845600 is a wasteful number, since it uses less digits than its factorization.

448845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26747 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 448845600 is about 21185.9764938980. The cubic root of 448845600 is about 765.6535915465.

The spelling of 448845600 in words is "four hundred forty-eight million, eight hundred forty-five thousand, six hundred".