4560104500 has 192 divisors, whose sum is σ = 12244377600. Its totient is φ = 1448668800.

The previous prime is 4560104447. The next prime is 4560104509. The reversal of 4560104500 is 54010654.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560104509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3124771 + ... + 3126229.

It is an arithmetic number, because the mean of its divisors is an integer number (63772800).

Almost surely, 2^4560104500 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 4560104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122188800).

4560104500 is an abundant number, since it is smaller than the sum of its proper divisors (7684273100).

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

4560104500 is a wasteful number, since it uses less digits than its factorization.

4560104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4560104500 is about 67528.5458158252. The cubic root of 4560104500 is about 1658.2815356048.

The spelling of 4560104500 in words is "four billion, five hundred sixty million, one hundred four thousand, five hundred".