438998112 has 144 divisors (see below), whose sum is σ = 1447310592. Its totient is φ = 123621120.

The previous prime is 438998101. The next prime is 438998113. The reversal of 438998112 is 211899834.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438998113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 141603 + ... + 144669.

It is an arithmetic number, because the mean of its divisors is an integer number (10050768).

Almost surely, 2^438998112 is an apocalyptic number.

438998112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723655296).

438998112 is an abundant number, since it is smaller than the sum of its proper divisors (1008312480).

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

438998112 is a wasteful number, since it uses less digits than its factorization.

438998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3150 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 438998112 is about 20952.2817850467. The cubic root of 438998112 is about 760.0127606352.

The spelling of 438998112 in words is "four hundred thirty-eight million, nine hundred ninety-eight thousand, one hundred twelve".