4517460000 has 180 divisors, whose sum is σ = 16053659622. Its totient is φ = 1204608000.

The previous prime is 4517459971. The next prime is 4517460001. The reversal of 4517460000 is 647154.

4517460000 is a `hidden beast` number, since 4 + 51 + 7 + 4 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7056 + 4517452944 = 84^2 + 67212^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (4517460001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 167452 + ... + 192548.

Almost surely, 2^4517460000 is an apocalyptic number.

4517460000 is a gapful number since it is divisible by the number (40) 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 4517460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026829811).

4517460000 is an abundant number, since it is smaller than the sum of its proper divisors (11536199622).

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

4517460000 is a wasteful number, since it uses less digits than its factorization.

4517460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25133 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4517460000 is about 67212.0524906062. The cubic root of 4517460000 is about 1653.0961150871.

The spelling of 4517460000 in words is "four billion, five hundred seventeen million, four hundred sixty thousand".