438734016 has 448 divisors, whose sum is σ = 1638604800. Its totient is φ = 112223232.

The previous prime is 438733957. The next prime is 438734017. The reversal of 438734016 is 610437834.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438734017) 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 63 ways as a sum of consecutive naturals, for example, 5285911 + ... + 5285993.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^438734016 is an apocalyptic number.

438734016 is a gapful number since it is divisible by the number (46) 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 438734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

438734016 is an abundant number, since it is smaller than the sum of its proper divisors (1199870784).

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

438734016 is a wasteful number, since it uses less digits than its factorization.

438734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 438734016 is about 20945.9785161735. The cubic root of 438734016 is about 759.8603252090.

The spelling of 438734016 in words is "four hundred thirty-eight million, seven hundred thirty-four thousand, sixteen".