448748000 has 96 divisors (see below), whose sum is σ = 1128647520. Its totient is φ = 175257600.

The previous prime is 448747969. The next prime is 448748011. The reversal of 448748000 is 847844.

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, 170696 + ... + 173304.

It is an arithmetic number, because the mean of its divisors is an integer number (11756745).

Almost surely, 2^448748000 is an apocalyptic number.

448748000 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 448748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564323760).

448748000 is an abundant number, since it is smaller than the sum of its proper divisors (679899520).

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

448748000 is a wasteful number, since it uses less digits than its factorization.

448748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 448748000 is about 21183.6729582006. The cubic root of 448748000 is about 765.5980912381.

The spelling of 448748000 in words is "four hundred forty-eight million, seven hundred forty-eight thousand".