4859449584 has 80 divisors (see below), whose sum is σ = 13953285504. Its totient is φ = 1444768000.

The previous prime is 4859449561. The next prime is 4859449589.

It is a happy number.

4859449584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4859449584² = 47228500518875546112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859449589) 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 15 ways as a sum of consecutive naturals, for example, 58842 + ... + 114809.

Almost surely, 2^4859449584 is an apocalyptic number.

4859449584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4859449584 is an abundant number, since it is smaller than the sum of its proper divisors (9093835920).

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

4859449584 is a wasteful number, since it uses less digits than its factorization.

4859449584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173726 (or 173720 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 60.

The square root of 4859449584 is about 69709.7524310623. The cubic root of 4859449584 is about 1693.8009037338.

The spelling of 4859449584 in words is "four billion, eight hundred fifty-nine million, four hundred forty-nine thousand, five hundred eighty-four".