4507000560 has 360 divisors, whose sum is σ = 16506912240. Its totient is φ = 1097920512.

The previous prime is 4507000559. The next prime is 4507000567. The reversal of 4507000560 is 650007054.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507000567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57050601 + ... + 57050679.

It is an arithmetic number, because the mean of its divisors is an integer number (45852534).

Almost surely, 2^4507000560 is an apocalyptic number.

4507000560 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 4507000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253456120).

4507000560 is an abundant number, since it is smaller than the sum of its proper divisors (11999911680).

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

4507000560 is a wasteful number, since it uses less digits than its factorization.

4507000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4507000560 is about 67134.1981407390. The cubic root of 4507000560 is about 1651.8193045762.

The spelling of 4507000560 in words is "four billion, five hundred seven million, five hundred sixty", and thus it is an aban number.