448238880 has 384 divisors, whose sum is σ = 1703116800. Its totient is φ = 109734912.

The previous prime is 448238873. The next prime is 448238891. The reversal of 448238880 is 88832844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3529377 + ... + 3529503.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^448238880 is an apocalyptic number.

448238880 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 448238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

448238880 is an abundant number, since it is smaller than the sum of its proper divisors (1254877920).

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

448238880 is a wasteful number, since it uses less digits than its factorization.

448238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 448238880 is about 21171.6527460659. The cubic root of 448238880 is about 765.3084492416.

The spelling of 448238880 in words is "four hundred forty-eight million, two hundred thirty-eight thousand, eight hundred eighty".