438904656 has 180 divisors, whose sum is σ = 1321567572. Its totient is φ = 141087744.

The previous prime is 438904651. The next prime is 438904667. The reversal of 438904656 is 656409834.

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 262440000 = 13284^2 + 16200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438904651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3884056 + ... + 3884168.

Almost surely, 2^438904656 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 438904656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660783786).

438904656 is an abundant number, since it is smaller than the sum of its proper divisors (882662916).

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

438904656 is an equidigital number, since it uses as much as digits as its factorization.

438904656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 438904656 is about 20950.0514557841. The cubic root of 438904656 is about 759.9588251008.

The spelling of 438904656 in words is "four hundred thirty-eight million, nine hundred four thousand, six hundred fifty-six".