4875084480 has 336 divisors, whose sum is σ = 18498714336. Its totient is φ = 1083801600.

The previous prime is 4875084479. The next prime is 4875084481. The reversal of 4875084480 is 844805784.

It is an interprime number because it is at equal distance from previous prime (4875084479) and next prime (4875084481).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4875084481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739080 + ... + 1741880.

Almost surely, 2^4875084480 is an apocalyptic number.

4875084480 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 4875084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249357168).

4875084480 is an abundant number, since it is smaller than the sum of its proper divisors (13623629856).

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

4875084480 is a wasteful number, since it uses less digits than its factorization.

4875084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 4875084480 is about 69821.8051900694. The cubic root of 4875084480 is about 1695.6155159648.

The spelling of 4875084480 in words is "four billion, eight hundred seventy-five million, eighty-four thousand, four hundred eighty".