4984882560 has 768 divisors, whose sum is σ = 21563942400. Its totient is φ = 1074954240.

The previous prime is 4984882559. The next prime is 4984882561. The reversal of 4984882560 is 652884894.

It is an interprime number because it is at equal distance from previous prime (4984882559) and next prime (4984882561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4984882497 and 4984882506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4984882561) 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 95 ways as a sum of consecutive naturals, for example, 20684040 + ... + 20684280.

It is an arithmetic number, because the mean of its divisors is an integer number (28078050).

Almost surely, 2^4984882560 is an apocalyptic number.

4984882560 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 4984882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781971200).

4984882560 is an abundant number, since it is smaller than the sum of its proper divisors (16579059840).

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

4984882560 is a wasteful number, since it uses less digits than its factorization.

4984882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4984882560 is about 70603.7007528642. The cubic root of 4984882560 is about 1708.2508429783.

The spelling of 4984882560 in words is "four billion, nine hundred eighty-four million, eight hundred eighty-two thousand, five hundred sixty".