448410816 has 196 divisors, whose sum is σ = 1525810512. Its totient is φ = 128024064.

The previous prime is 448410791. The next prime is 448410827. The reversal of 448410816 is 618014844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 325906 + ... + 327278.

Almost surely, 2^448410816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762905256).

448410816 is an abundant number, since it is smaller than the sum of its proper divisors (1077399696).

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

448410816 is an equidigital number, since it uses as much as digits as its factorization.

448410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 448410816 is about 21175.7128805620. The cubic root of 448410816 is about 765.4062893730.

The spelling of 448410816 in words is "four hundred forty-eight million, four hundred ten thousand, eight hundred sixteen".