438816448 has 112 divisors (see below), whose sum is σ = 1067433984. Its totient is φ = 174873600.

The previous prime is 438816437. The next prime is 438816463. The reversal of 438816448 is 844618834.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 438816398 and 438816407.

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, 380673 + ... + 381823.

Almost surely, 2^438816448 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 438816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533716992).

438816448 is an abundant number, since it is smaller than the sum of its proper divisors (628617536).

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

438816448 is a wasteful number, since it uses less digits than its factorization.

438816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1220 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 438816448 is about 20947.9461523081. The cubic root of 438816448 is about 759.9079112798.

The spelling of 438816448 in words is "four hundred thirty-eight million, eight hundred sixteen thousand, four hundred forty-eight".