438855680 has 96 divisors (see below), whose sum is σ = 1115379720. Its totient is φ = 165150720.

The previous prime is 438855661. The next prime is 438855689. The reversal of 438855680 is 86558834.

It can be written as a sum of positive squares in 4 ways, for example, as 259081216 + 179774464 = 16096^2 + 13408^2 .

It is not an unprimeable number, because it can be changed into a prime (438855689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172820 + ... + 175340.

Almost surely, 2^438855680 is an apocalyptic number.

438855680 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 438855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557689860).

438855680 is an abundant number, since it is smaller than the sum of its proper divisors (676524040).

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

438855680 is a wasteful number, since it uses less digits than its factorization.

438855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 438855680 is about 20948.8825477637. The cubic root of 438855680 is about 759.9305569052.

The spelling of 438855680 in words is "four hundred thirty-eight million, eight hundred fifty-five thousand, six hundred eighty".