448739424 has 288 divisors, whose sum is σ = 1535526720. Its totient is φ = 121651200.

The previous prime is 448739419. The next prime is 448739437. The reversal of 448739424 is 424937844.

It is a tau number, because it is divible by the number of its divisors (288).

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 448739424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041972 + ... + 5042060.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2^448739424 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 448739424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

448739424 is an abundant number, since it is smaller than the sum of its proper divisors (1086787296).

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

448739424 is a wasteful number, since it uses less digits than its factorization.

448739424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 448739424 is about 21183.4705371901. The cubic root of 448739424 is about 765.5932141051.

The spelling of 448739424 in words is "four hundred forty-eight million, seven hundred thirty-nine thousand, four hundred twenty-four".