438440000 has 140 divisors (see below), whose sum is σ = 1108117164. Its totient is φ = 172032000.

The previous prime is 438439999. The next prime is 438440011. The reversal of 438440000 is 44834.

It can be written as a sum of positive squares in 10 ways, for example, as 428655616 + 9784384 = 20704^2 + 3128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3879944 + ... + 3880056.

Almost surely, 2^438440000 is an apocalyptic number.

438440000 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 438440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554058582).

438440000 is an abundant number, since it is smaller than the sum of its proper divisors (669677164).

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

438440000 is an equidigital number, since it uses as much as digits as its factorization.

438440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 438440000 is about 20938.9589043964. The cubic root of 438440000 is about 759.6905480700.

Adding to 438440000 its reverse (44834), we get a palindrome (438484834).

It can be divided in two parts, 4 and 38440000, that multiplied together give a square (153760000 = 12400²).

The spelling of 438440000 in words is "four hundred thirty-eight million, four hundred forty thousand".