438971904 has 240 divisors, whose sum is σ = 1497999360. Its totient is φ = 121098240.

The previous prime is 438971899. The next prime is 438971933. The reversal of 438971904 is 409179834.

It is a self number, because there is not a number n which added to its sum of digits gives 438971904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999717 + ... + 1000155.

It is an arithmetic number, because the mean of its divisors is an integer number (6241664).

Almost surely, 2^438971904 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 438971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748999680).

438971904 is an abundant number, since it is smaller than the sum of its proper divisors (1059027456).

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

438971904 is a wasteful number, since it uses less digits than its factorization.

438971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 438971904 is about 20951.6563545702. The cubic root of 438971904 is about 759.9976361884.

The spelling of 438971904 in words is "four hundred thirty-eight million, nine hundred seventy-one thousand, nine hundred four".