4884422400 has 648 divisors, whose sum is σ = 20550465936. Its totient is φ = 1091174400.

The previous prime is 4884422399. The next prime is 4884422423. The reversal of 4884422400 is 42244884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8236504 + ... + 8237096.

It is an arithmetic number, because the mean of its divisors is an integer number (31713682).

Almost surely, 2^4884422400 is an apocalyptic number.

4884422400 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 4884422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275232968).

4884422400 is an abundant number, since it is smaller than the sum of its proper divisors (15666043536).

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

4884422400 is a wasteful number, since it uses less digits than its factorization.

4884422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4884422400 is about 69888.6428541863. The cubic root of 4884422400 is about 1696.6974406968.

It can be divided in two parts, 48 and 84422400, that added together give a palindrome (84422448).

The spelling of 4884422400 in words is "four billion, eight hundred eighty-four million, four hundred twenty-two thousand, four hundred".