438022144 has 52 divisors (see below), whose sum is σ = 1001136784. Its totient is φ = 187711488.

The previous prime is 438022103. The next prime is 438022171. The reversal of 438022144 is 441220834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21034 + ... + 36310.

Almost surely, 2^438022144 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 438022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500568392).

438022144 is an abundant number, since it is smaller than the sum of its proper divisors (563114640).

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

438022144 is an equidigital number, since it uses as much as digits as its factorization.

438022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15308 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 438022144 is about 20928.9785703937. The cubic root of 438022144 is about 759.4491298957.

Adding to 438022144 its reverse (441220834), we get a palindrome (879242978).

The spelling of 438022144 in words is "four hundred thirty-eight million, twenty-two thousand, one hundred forty-four".