438976000000 has 364 divisors, whose sum is σ = 1158243768040. Its totient is φ = 166348800000.

The previous prime is 438975999977. The next prime is 438976000037. The reversal of 438976000000 is 679834.

The cubic root of 438976000000 is 7600.

It is a perfect power (a cube), and thus also a powerful 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 27 ways as a sum of consecutive naturals, for example, 23103999991 + ... + 23104000009.

Almost surely, 2^438976000000 is an apocalyptic number.

438976000000 is a gapful number since it is divisible by the number (40) 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 438976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579121884020).

438976000000 is an abundant number, since it is smaller than the sum of its proper divisors (719267768040).

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

438976000000 is an frugal number, since it uses more digits than its factorization.

438976000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 438976000000 its reverse (679834), we get a palindrome (438976679834).

The spelling of 438976000000 in words is "four hundred thirty-eight billion, nine hundred seventy-six million", and thus it is an aban number.