438834144 has 96 divisors (see below), whose sum is σ = 1328382720. Its totient is φ = 124250112.

The previous prime is 438834139. The next prime is 438834157. The reversal of 438834144 is 441438834.

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

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73047 + ... + 78825.

It is an arithmetic number, because the mean of its divisors is an integer number (13837320).

Almost surely, 2^438834144 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 438834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664191360).

438834144 is an abundant number, since it is smaller than the sum of its proper divisors (889548576).

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

438834144 is a wasteful number, since it uses less digits than its factorization.

438834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5904 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 438834144 is about 20948.3685283604. The cubic root of 438834144 is about 759.9181259908.

The spelling of 438834144 in words is "four hundred thirty-eight million, eight hundred thirty-four thousand, one hundred forty-four".