448289800 has 144 divisors (see below), whose sum is σ = 1258580160. Its totient is φ = 145445760.

The previous prime is 448289789. The next prime is 448289833. The reversal of 448289800 is 8982844.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504957 + ... + 505843.

It is an arithmetic number, because the mean of its divisors is an integer number (8740140).

Almost surely, 2^448289800 is an apocalyptic number.

448289800 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 448289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629290080).

448289800 is an abundant number, since it is smaller than the sum of its proper divisors (810290360).

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

448289800 is a wasteful number, since it uses less digits than its factorization.

448289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 448289800 is about 21172.8552632846. The cubic root of 448289800 is about 765.3374278602.

The spelling of 448289800 in words is "four hundred forty-eight million, two hundred eighty-nine thousand, eight hundred".