438488324820 has 288 divisors, whose sum is σ = 1645344949248. Its totient is φ = 92045915136.

The previous prime is 438488324809. The next prime is 438488324843. The reversal of 438488324820 is 28423884834.

438488324820 is a `hidden beast` number, since 4 + 3 + 84 + 8 + 83 + 2 + 482 + 0 = 666.

438488324820 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×438488324820² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3158917 + ... + 3294803.

It is an arithmetic number, because the mean of its divisors is an integer number (5713003296).

Almost surely, 2^438488324820 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 438488324820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822672474624).

438488324820 is an abundant number, since it is smaller than the sum of its proper divisors (1206856624428).

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

438488324820 is a wasteful number, since it uses less digits than its factorization.

438488324820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136119 (or 136114 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 438488324820 in words is "four hundred thirty-eight billion, four hundred eighty-eight million, three hundred twenty-four thousand, eight hundred twenty".