4606452576 has 288 divisors, whose sum is σ = 14719120416. Its totient is φ = 1366041600.

The previous prime is 4606452527. The next prime is 4606452577. The reversal of 4606452576 is 6752546064.

4606452576 is a `hidden beast` number, since 4 + 60 + 64 + 525 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606452577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23382910 + ... + 23383106.

It is an arithmetic number, because the mean of its divisors is an integer number (51108057).

Almost surely, 2^4606452576 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 4606452576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359560208).

4606452576 is an abundant number, since it is smaller than the sum of its proper divisors (10112667840).

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

4606452576 is a wasteful number, since it uses less digits than its factorization.

4606452576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4606452576 is about 67870.8521826564. The cubic root of 4606452576 is about 1663.8807660805.

The spelling of 4606452576 in words is "four billion, six hundred six million, four hundred fifty-two thousand, five hundred seventy-six".