4634585424 has 540 divisors, whose sum is σ = 16902153684. Its totient is φ = 1222760448.

The previous prime is 4634585411. The next prime is 4634585453. The reversal of 4634585424 is 4245854364.

4634585424 is a `hidden beast` number, since 4 + 63 + 4 + 585 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3477225024 + 1157360400 = 58968^2 + 34020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4634585424.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 87444982 + ... + 87445034.

Almost surely, 2^4634585424 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 4634585424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451076842).

4634585424 is an abundant number, since it is smaller than the sum of its proper divisors (12267568260).

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

4634585424 is an equidigital number, since it uses as much as digits as its factorization.

4634585424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The square root of 4634585424 is about 68077.7895058293. The cubic root of 4634585424 is about 1667.2611499197.

It can be divided in two parts, 46345 and 85424, that added together give a square (131769 = 363²).

The spelling of 4634585424 in words is "four billion, six hundred thirty-four million, five hundred eighty-five thousand, four hundred twenty-four".