4509056160 has 480 divisors, whose sum is σ = 18986026752. Its totient is φ = 985374720.

The previous prime is 4509056159. The next prime is 4509056173. The reversal of 4509056160 is 616509054.

4509056160 is a `hidden beast` number, since 4 + 5 + 0 + 90 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2085480 + ... + 2087640.

Almost surely, 2^4509056160 is an apocalyptic number.

4509056160 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 4509056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493013376).

4509056160 is an abundant number, since it is smaller than the sum of its proper divisors (14476970592).

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

4509056160 is a wasteful number, since it uses less digits than its factorization.

4509056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4509056160 is about 67149.5060294564. The cubic root of 4509056160 is about 1652.0703927543.

The spelling of 4509056160 in words is "four billion, five hundred nine million, fifty-six thousand, one hundred sixty".