438800000 has 96 divisors (see below), whose sum is σ = 1093640940. Its totient is φ = 175360000.

The previous prime is 438799997. The next prime is 438800053. The reversal of 438800000 is 8834.

It can be written as a sum of positive squares in 6 ways, for example, as 88661056 + 350138944 = 9416^2 + 18712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399452 + ... + 400548.

Almost surely, 2^438800000 is an apocalyptic number.

438800000 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 438800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546820470).

438800000 is an abundant number, since it is smaller than the sum of its proper divisors (654840940).

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

438800000 is an frugal number, since it uses more digits than its factorization.

438800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 438800000 is about 20947.5535564419. The cubic root of 438800000 is about 759.8984167090.

Adding to 438800000 its reverse (8834), we get a palindrome (438808834).

The spelling of 438800000 in words is "four hundred thirty-eight million, eight hundred thousand".