4830036480 has 200 divisors, whose sum is σ = 17300407212. Its totient is φ = 1287954432.

The previous prime is 4830036473. The next prime is 4830036503. The reversal of 4830036480 is 846300384.

4830036480 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 0 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4180398336 + 649638144 = 64656^2 + 25488^2 .

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 19 ways as a sum of consecutive naturals, for example, 195714 + ... + 219006.

Almost surely, 2^4830036480 is an apocalyptic number.

4830036480 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 4830036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650203606).

4830036480 is an abundant number, since it is smaller than the sum of its proper divisors (12470370732).

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

4830036480 is an equidigital number, since it uses as much as digits as its factorization.

4830036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23328 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4830036480 is about 69498.4638679158. The cubic root of 4830036480 is about 1690.3765928957.

The spelling of 4830036480 in words is "four billion, eight hundred thirty million, thirty-six thousand, four hundred eighty".