4809160224 has 288 divisors, whose sum is σ = 15870254400. Its totient is φ = 1366087680.

The previous prime is 4809160199. The next prime is 4809160241. The reversal of 4809160224 is 4220619084.

4809160224 is a `hidden beast` number, since 48 + 0 + 9 + 1 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4809160224³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6560562 + ... + 6561294.

It is an arithmetic number, because the mean of its divisors is an integer number (55105050).

Almost surely, 2^4809160224 is an apocalyptic number.

4809160224 is a gapful number since it is divisible by the number (44) 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 4809160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935127200).

4809160224 is an abundant number, since it is smaller than the sum of its proper divisors (11061094176).

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

4809160224 is a wasteful number, since it uses less digits than its factorization.

4809160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4809160224 is about 69348.1090153149. The cubic root of 4809160224 is about 1687.9377087441.

The spelling of 4809160224 in words is "four billion, eight hundred nine million, one hundred sixty thousand, two hundred twenty-four".