438242112 has 336 divisors, whose sum is σ = 1610953344. Its totient is φ = 110592000.

The previous prime is 438242083. The next prime is 438242159. The reversal of 438242112 is 211242834.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×438242112² = 384112297460441088, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1818312 + ... + 1818552.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^438242112 is an apocalyptic number.

438242112 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 438242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805476672).

438242112 is an abundant number, since it is smaller than the sum of its proper divisors (1172711232).

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

438242112 is a wasteful number, since it uses less digits than its factorization.

438242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 438242112 is about 20934.2330167599. The cubic root of 438242112 is about 759.5762365212.

Adding to 438242112 its reverse (211242834), we get a palindrome (649484946).

The spelling of 438242112 in words is "four hundred thirty-eight million, two hundred forty-two thousand, one hundred twelve".