438046056 has 160 divisors (see below), whose sum is σ = 1411344000. Its totient is φ = 124343424.

The previous prime is 438046051. The next prime is 438046057. The reversal of 438046056 is 650640834.

438046056 is a `hidden beast` number, since 43 + 8 + 0 + 4 + 605 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 438046056.

It is not an unprimeable number, because it can be changed into a prime (438046051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1220005 + ... + 1220363.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^438046056 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 438046056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705672000).

438046056 is an abundant number, since it is smaller than the sum of its proper divisors (973297944).

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

438046056 is a wasteful number, since it uses less digits than its factorization.

438046056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 438046056 is about 20929.5498279347. The cubic root of 438046056 is about 759.4629493014.

The spelling of 438046056 in words is "four hundred thirty-eight million, forty-six thousand, fifty-six".