8439729424 has 135 divisors (see below), whose sum is σ = 20311666767. Its totient is φ = 3386621952.

The previous prime is 8439729413. The next prime is 8439729433. The reversal of 8439729424 is 4249279348.

The square root of 8439729424 is 91868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 8434585600 = 2268^2 + 91840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43729072 + ... + 43729264.

Almost surely, 2^8439729424 is an apocalyptic number.

8439729424 is the 91868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8439729424

8439729424 is an abundant number, since it is smaller than the sum of its proper divisors (11871937343).

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

8439729424 is a wasteful number, since it uses less digits than its factorization.

8439729424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The cubic root of 8439729424 is about 2035.9925029605.

The spelling of 8439729424 in words is "eight billion, four hundred thirty-nine million, seven hundred twenty-nine thousand, four hundred twenty-four".