4606465584 has 160 divisors (see below), whose sum is σ = 14083670016. Its totient is φ = 1269607680.

The previous prime is 4606465561. The next prime is 4606465597. The reversal of 4606465584 is 4855646064.

It is a super-2 number, since 2×4606465584² = 42439050353152922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863799 + ... + 4864745.

Almost surely, 2^4606465584 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 4606465584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041835008).

4606465584 is an abundant number, since it is smaller than the sum of its proper divisors (9477204432).

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

4606465584 is a wasteful number, since it uses less digits than its factorization.

4606465584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The square root of 4606465584 is about 67870.9480116493. The cubic root of 4606465584 is about 1663.8823322706.

The spelling of 4606465584 in words is "four billion, six hundred six million, four hundred sixty-five thousand, five hundred eighty-four".