438859680 has 288 divisors, whose sum is σ = 1646459136. Its totient is φ = 97929216.

The previous prime is 438859679. The next prime is 438859699. The reversal of 438859680 is 86958834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105242 + ... + 1105638.

It is an arithmetic number, because the mean of its divisors is an integer number (5716872).

Almost surely, 2^438859680 is an apocalyptic number.

438859680 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 438859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823229568).

438859680 is an abundant number, since it is smaller than the sum of its proper divisors (1207599456).

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

438859680 is a wasteful number, since it uses less digits than its factorization.

438859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 438859680 is about 20948.9780180323. The cubic root of 438859680 is about 759.9328657227.

The spelling of 438859680 in words is "four hundred thirty-eight million, eight hundred fifty-nine thousand, six hundred eighty".