4560304752 has 160 divisors (see below), whose sum is σ = 13645108800. Its totient is φ = 1456422912.

The previous prime is 4560304751. The next prime is 4560304787. The reversal of 4560304752 is 2574030654.

4560304752 is a `hidden beast` number, since 4 + 5 + 603 + 0 + 47 + 5 + 2 = 666.

It is a super-3 number, since 3×4560304752³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560304751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715008 + ... + 1717664.

It is an arithmetic number, because the mean of its divisors is an integer number (85281930).

Almost surely, 2^4560304752 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 4560304752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822554400).

4560304752 is an abundant number, since it is smaller than the sum of its proper divisors (9084804048).

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

4560304752 is a wasteful number, since it uses less digits than its factorization.

4560304752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4560304752 is about 67530.0285206515. The cubic root of 4560304752 is about 1658.3058091226.

The spelling of 4560304752 in words is "four billion, five hundred sixty million, three hundred four thousand, seven hundred fifty-two".