4508048160 has 576 divisors, whose sum is σ = 19407548160. Its totient is φ = 925655040.

The previous prime is 4508048087. The next prime is 4508048177. The reversal of 4508048160 is 618408054.

4508048160 is a `hidden beast` number, since 45 + 0 + 80 + 481 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12085734 + ... + 12086106.

It is an arithmetic number, because the mean of its divisors is an integer number (33693660).

Almost surely, 2^4508048160 is an apocalyptic number.

4508048160 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 4508048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703774080).

4508048160 is an abundant number, since it is smaller than the sum of its proper divisors (14899500000).

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

4508048160 is a wasteful number, since it uses less digits than its factorization.

4508048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4508048160 is about 67141.9999702124. Note that the first 4 decimals coincide. The cubic root of 4508048160 is about 1651.9472767404.

The spelling of 4508048160 in words is "four billion, five hundred eight million, forty-eight thousand, one hundred sixty".