448706016 has 72 divisors (see below), whose sum is σ = 1392018264. Its totient is φ = 135970560.

The previous prime is 448705987. The next prime is 448706023. The reversal of 448706016 is 610607844.

448706016 is a `hidden beast` number, since 4 + 48 + 7 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67651 + ... + 73986.

It is an arithmetic number, because the mean of its divisors is an integer number (19333587).

Almost surely, 2^448706016 is an apocalyptic number.

It is an amenable number.

448706016 is an abundant number, since it is smaller than the sum of its proper divisors (943312248).

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

448706016 is a wasteful number, since it uses less digits than its factorization.

448706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141664 (or 141653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 448706016 is about 21182.6819831673. The cubic root of 448706016 is about 765.5742145317.

The spelling of 448706016 in words is "four hundred forty-eight million, seven hundred six thousand, sixteen".