448345216 has 64 divisors (see below), whose sum is σ = 1031758560. Its totient is φ = 191795200.

The previous prime is 448345211. The next prime is 448345217. The reversal of 448345216 is 612543844.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (448345211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14571 + ... + 33301.

Almost surely, 2^448345216 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 448345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515879280).

448345216 is an abundant number, since it is smaller than the sum of its proper divisors (583413344).

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

448345216 is a wasteful number, since it uses less digits than its factorization.

448345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18773 (or 18761 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 448345216 is about 21174.1638795963. The cubic root of 448345216 is about 765.3689626631.

The spelling of 448345216 in words is "four hundred forty-eight million, three hundred forty-five thousand, two hundred sixteen".