4984164900 has 540 divisors, whose sum is σ = 19143243504. Its totient is φ = 1111968000.

The previous prime is 4984164893. The next prime is 4984164901. The reversal of 4984164900 is 94614894.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (4984164901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15057735 + ... + 15058065.

Almost surely, 2^4984164900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4984164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571621752).

4984164900 is an abundant number, since it is smaller than the sum of its proper divisors (14159078604).

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

4984164900 is a wasteful number, since it uses less digits than its factorization.

4984164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4984164900 is about 70598.6182584334. The cubic root of 4984164900 is about 1708.1688616329.

The spelling of 4984164900 in words is "four billion, nine hundred eighty-four million, one hundred sixty-four thousand, nine hundred".