4659484032 has 384 divisors, whose sum is σ = 16640769600. Its totient is φ = 1220935680.

The previous prime is 4659484031. The next prime is 4659484033. The reversal of 4659484032 is 2304849564.

It is an interprime number because it is at equal distance from previous prime (4659484031) and next prime (4659484033).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4659484031) 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 47 ways as a sum of consecutive naturals, for example, 5620194 + ... + 5621022.

Almost surely, 2^4659484032 is an apocalyptic number.

4659484032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4659484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320384800).

4659484032 is an abundant number, since it is smaller than the sum of its proper divisors (11981285568).

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

4659484032 is a wasteful number, since it uses less digits than its factorization.

4659484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4659484032 is about 68260.4133594282. The cubic root of 4659484032 is about 1670.2415217157.

It can be divided in two parts, 465948 and 4032, that multiplied together give a square (1878702336 = 43344²).

The spelling of 4659484032 in words is "four billion, six hundred fifty-nine million, four hundred eighty-four thousand, thirty-two".