438812688 has 80 divisors (see below), whose sum is σ = 1210636800. Its totient is φ = 136657920.

The previous prime is 438812683. The next prime is 438812701. The reversal of 438812688 is 886218834.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (438812683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38068 + ... + 48236.

It is an arithmetic number, because the mean of its divisors is an integer number (15132960).

Almost surely, 2^438812688 is an apocalyptic number.

438812688 is a gapful number since it is divisible by the number (48) 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 438812688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605318400).

438812688 is an abundant number, since it is smaller than the sum of its proper divisors (771824112).

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

438812688 is a wasteful number, since it uses less digits than its factorization.

438812688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10234 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 438812688 is about 20947.8564058474. The cubic root of 438812688 is about 759.9057408492.

The spelling of 438812688 in words is "four hundred thirty-eight million, eight hundred twelve thousand, six hundred eighty-eight".