448702016 has 84 divisors (see below), whose sum is σ = 1042416000. Its totient is φ = 191068416.

The previous prime is 448701983. The next prime is 448702057. The reversal of 448702016 is 610207844.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623705 + ... + 624423.

Almost surely, 2^448702016 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 448702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208000).

448702016 is an abundant number, since it is smaller than the sum of its proper divisors (593713984).

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

448702016 is a wasteful number, since it uses less digits than its factorization.

448702016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 448702016 is about 21182.5875662064. The cubic root of 448702016 is about 765.5719396153.

The spelling of 448702016 in words is "four hundred forty-eight million, seven hundred two thousand, sixteen".