4863084480 has 280 divisors, whose sum is σ = 17379708192. Its totient is φ = 1290774528.

The previous prime is 4863084469. The next prime is 4863084487. The reversal of 4863084480 is 844803684.

4863084480 is a `hidden beast` number, since 4 + 8 + 630 + 8 + 4 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863084487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9667909 + ... + 9668411.

Almost surely, 2^4863084480 is an apocalyptic number.

4863084480 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 4863084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689854096).

4863084480 is an abundant number, since it is smaller than the sum of its proper divisors (12516623712).

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

4863084480 is a wasteful number, since it uses less digits than its factorization.

4863084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4863084480 is about 69735.8192036202. The cubic root of 4863084480 is about 1694.2231227222.

It can be divided in two parts, 48 and 63084480, that added together give a triangular number (63084528 = T₁₁₂₃₂).

The spelling of 4863084480 in words is "four billion, eight hundred sixty-three million, eighty-four thousand, four hundred eighty".