438484752 has 90 divisors (see below), whose sum is σ = 1274586638. Its totient is φ = 146126592.

The previous prime is 438484751. The next prime is 438484763. The reversal of 438484752 is 257484834.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 429981696 + 8503056 = 20736^2 + 2916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 438484698 and 438484707.

It is not an unprimeable number, because it can be changed into a prime (438484751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102888 + ... + 107064.

Almost surely, 2^438484752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637293319).

438484752 is an abundant number, since it is smaller than the sum of its proper divisors (836101886).

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

438484752 is an frugal number, since it uses more digits than its factorization.

438484752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4182 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 438484752 is about 20940.0275071453. The cubic root of 438484752 is about 759.7163946433.

The spelling of 438484752 in words is "four hundred thirty-eight million, four hundred eighty-four thousand, seven hundred fifty-two".