5958434484 has 108 divisors (see below), whose sum is σ = 15676534692. Its totient is φ = 1908092160.

The previous prime is 5958434479. The next prime is 5958434513. The reversal of 5958434484 is 4844348595.

5958434484 is a `hidden beast` number, since 59 + 5 + 84 + 34 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1720424484 + 4238010000 = 41478^2 + 65100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5958434484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5431024 + ... + 5432120.

It is an arithmetic number, because the mean of its divisors is an integer number (145153099).

Almost surely, 2^5958434484 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 5958434484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838267346).

5958434484 is an abundant number, since it is smaller than the sum of its proper divisors (9718100208).

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

5958434484 is a wasteful number, since it uses less digits than its factorization.

5958434484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1290 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 5958434484 is about 77190.8963803375. The cubic root of 5958434484 is about 1812.9147793909.

The spelling of 5958434484 in words is "five billion, nine hundred fifty-eight million, four hundred thirty-four thousand, four hundred eighty-four".