448131744 has 96 divisors (see below), whose sum is σ = 1310904000. Its totient is φ = 148937472.

The previous prime is 448131737. The next prime is 448131769. The reversal of 448131744 is 447131844.

It is a happy number.

448131744 is a `hidden beast` number, since 4 + 481 + 3 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 448131699 and 448131708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439267 + ... + 440285.

It is an arithmetic number, because the mean of its divisors is an integer number (13655250).

Almost surely, 2^448131744 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 448131744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655452000).

448131744 is an abundant number, since it is smaller than the sum of its proper divisors (862772256).

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

448131744 is a wasteful number, since it uses less digits than its factorization.

448131744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 448131744 is about 21169.1224192218. The cubic root of 448131744 is about 765.2474708786.

The spelling of 448131744 in words is "four hundred forty-eight million, one hundred thirty-one thousand, seven hundred forty-four".