448866864 has 60 divisors (see below), whose sum is σ = 1262660256. Its totient is φ = 148853376.

The previous prime is 448866863. The next prime is 448866881. The reversal of 448866864 is 468668844.

448866864 is a `hidden beast` number, since 448 + 86 + 68 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 448866864.

It is not an unprimeable number, because it can be changed into a prime (448866863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20457 + ... + 36279.

Almost surely, 2^448866864 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 448866864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631330128).

448866864 is an abundant number, since it is smaller than the sum of its proper divisors (813793392).

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

448866864 is a wasteful number, since it uses less digits than its factorization.

448866864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16025 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 448866864 is about 21186.4783293496. The cubic root of 448866864 is about 765.6656822675.

The spelling of 448866864 in words is "four hundred forty-eight million, eight hundred sixty-six thousand, eight hundred sixty-four".