438505056 has 384 divisors, whose sum is σ = 1516838400. Its totient is φ = 121927680.

The previous prime is 438505049. The next prime is 438505139. The reversal of 438505056 is 650505834.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 438505056.

It is a congruent number.

It is an unprimeable number.

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, 10197771 + ... + 10197813.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^438505056 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 438505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

438505056 is an abundant number, since it is smaller than the sum of its proper divisors (1078333344).

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

438505056 is a wasteful number, since it uses less digits than its factorization.

438505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 438505056 is about 20940.5123146498. The cubic root of 438505056 is about 759.7281206638.

The spelling of 438505056 in words is "four hundred thirty-eight million, five hundred five thousand, fifty-six".