448229760 has 256 divisors, whose sum is σ = 1642118400. Its totient is φ = 102850560.

The previous prime is 448229737. The next prime is 448229791. The reversal of 448229760 is 67922844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400722 + ... + 401838.

It is an arithmetic number, because the mean of its divisors is an integer number (6414525).

Almost surely, 2^448229760 is an apocalyptic number.

448229760 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 448229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821059200).

448229760 is an abundant number, since it is smaller than the sum of its proper divisors (1193888640).

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

448229760 is a wasteful number, since it uses less digits than its factorization.

448229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 448229760 is about 21171.4373626355. The cubic root of 448229760 is about 765.3032588095.

The spelling of 448229760 in words is "four hundred forty-eight million, two hundred twenty-nine thousand, seven hundred sixty".