4806461584 has 20 divisors (see below), whose sum is σ = 9351167980. Its totient is φ = 2393256960.

The previous prime is 4806461581. The next prime is 4806461599. The reversal of 4806461584 is 4851646084.

It can be written as a sum of positive squares in 2 ways, for example, as 3632713984 + 1173747600 = 60272^2 + 34260^2 .

It is a super-3 number, since 3×4806461584³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4806461581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 619389 + ... + 627100.

It is an arithmetic number, because the mean of its divisors is an integer number (467558399).

Almost surely, 2^4806461584 is an apocalyptic number.

It is an amenable number.

4806461584 is a deficient number, since it is larger than the sum of its proper divisors (4544706396).

4806461584 is a wasteful number, since it uses less digits than its factorization.

4806461584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246738 (or 1246732 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 4806461584 is about 69328.6490853529. The cubic root of 4806461584 is about 1687.6219232913.

The spelling of 4806461584 in words is "four billion, eight hundred six million, four hundred sixty-one thousand, five hundred eighty-four".