448209216 has 336 divisors, whose sum is σ = 1677521664. Its totient is φ = 111034368.

The previous prime is 448209193. The next prime is 448209217. The reversal of 448209216 is 612902844.

448209216 is a `hidden beast` number, since 448 + 209 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448209217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890821 + ... + 891323.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^448209216 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 448209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832).

448209216 is an abundant number, since it is smaller than the sum of its proper divisors (1229312448).

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

448209216 is a wasteful number, since it uses less digits than its factorization.

448209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 448209216 is about 21170.9521750912. The cubic root of 448209216 is about 765.2915664203.

The spelling of 448209216 in words is "four hundred forty-eight million, two hundred nine thousand, two hundred sixteen".