448547328 has 160 divisors (see below), whose sum is σ = 1349377920. Its totient is φ = 147087360.

The previous prime is 448547243. The next prime is 448547353. The reversal of 448547328 is 823745844.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981276 + ... + 981732.

It is an arithmetic number, because the mean of its divisors is an integer number (8433612).

Almost surely, 2^448547328 is an apocalyptic number.

448547328 is a gapful number since it is divisible by the number (48) 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 448547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674688960).

448547328 is an abundant number, since it is smaller than the sum of its proper divisors (900830592).

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

448547328 is an equidigital number, since it uses as much as digits as its factorization.

448547328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 533 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 448547328 is about 21178.9359506090. The cubic root of 448547328 is about 765.4839536771.

The spelling of 448547328 in words is "four hundred forty-eight million, five hundred forty-seven thousand, three hundred twenty-eight".