4884004884 has 96 divisors (see below), whose sum is σ = 12895731072. Its totient is φ = 1425600000.

The previous prime is 4884004861. The next prime is 4884004903.

It is a happy number.

4884004884 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488334 + ... + 498234.

It is an arithmetic number, because the mean of its divisors is an integer number (134330532).

Almost surely, 2^4884004884 is an apocalyptic number.

4884004884 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 4884004884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447865536).

4884004884 is an abundant number, since it is smaller than the sum of its proper divisors (8011726188).

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

4884004884 is a wasteful number, since it uses less digits than its factorization.

4884004884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4884004884 is about 69885.6557814263. The cubic root of 4884004884 is about 1696.6490952661.

Multiplying 4884004884 by its sum of digits (48), we get a palindrome (234432234432).

It can be divided in two parts, 488400 and 4884, that multiplied together give a square (2385345600 = 48840²).

The spelling of 4884004884 in words is "four billion, eight hundred eighty-four million, four thousand, eight hundred eighty-four".