4505972160 has 224 divisors, whose sum is σ = 14747443200. Its totient is φ = 1164943360.

The previous prime is 4505972117. The next prime is 4505972183. The reversal of 4505972160 is 612795054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9406801 + ... + 9407279.

It is an arithmetic number, because the mean of its divisors is an integer number (65836800).

Almost surely, 2^4505972160 is an apocalyptic number.

4505972160 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 4505972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

4505972160 is an abundant number, since it is smaller than the sum of its proper divisors (10241471040).

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

4505972160 is a wasteful number, since it uses less digits than its factorization.

4505972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 4505972160 is about 67126.5384181249. The cubic root of 4505972160 is about 1651.6936585454.

The spelling of 4505972160 in words is "four billion, five hundred five million, nine hundred seventy-two thousand, one hundred sixty".