448377984 has 128 divisors (see below), whose sum is σ = 1334404800. Its totient is φ = 148211712.

The previous prime is 448377983. The next prime is 448378001. The reversal of 448377984 is 489773844.

448377984 is a `hidden beast` number, since 4 + 483 + 77 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 448377984.

It is not an unprimeable number, because it can be changed into a prime (448377983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472999 + ... + 473945.

Almost surely, 2^448377984 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 448377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667202400).

448377984 is an abundant number, since it is smaller than the sum of its proper divisors (886026816).

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

448377984 is a wasteful number, since it uses less digits than its factorization.

448377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 448377984 is about 21174.9376386331. The cubic root of 448377984 is about 765.3876082650.

The spelling of 448377984 in words is "four hundred forty-eight million, three hundred seventy-seven thousand, nine hundred eighty-four".