438906880 has 104 divisors (see below), whose sum is σ = 1091041200. Its totient is φ = 169279488.

The previous prime is 438906827. The next prime is 438906887. The reversal of 438906880 is 88609834.

It is a super-2 number, since 2×438906880² = 385278498622668800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 438906880.

It is not an unprimeable number, because it can be changed into a prime (438906887) 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, 593551 + ... + 594289.

Almost surely, 2^438906880 is an apocalyptic number.

438906880 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 438906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545520600).

438906880 is an abundant number, since it is smaller than the sum of its proper divisors (652134320).

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

438906880 is an equidigital number, since it uses as much as digits as its factorization.

438906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 438906880 is about 20950.1045343454. The cubic root of 438906880 is about 759.9601087095.

The spelling of 438906880 in words is "four hundred thirty-eight million, nine hundred six thousand, eight hundred eighty".