438189120 has 168 divisors, whose sum is σ = 1515974616. Its totient is φ = 116170752.

The previous prime is 438189109. The next prime is 438189133. The reversal of 438189120 is 21981834.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 437981184 = 456^2 + 20928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670714 + ... + 671366.

Almost surely, 2^438189120 is an apocalyptic number.

438189120 is a gapful number since it is divisible by the number (40) 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 438189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757987308).

438189120 is an abundant number, since it is smaller than the sum of its proper divisors (1077785496).

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

438189120 is a wasteful number, since it uses less digits than its factorization.

438189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 438189120 is about 20932.9673004092. The cubic root of 438189120 is about 759.5456194374.

The spelling of 438189120 in words is "four hundred thirty-eight million, one hundred eighty-nine thousand, one hundred twenty".