984480684100 has 81 divisors (see below), whose sum is σ = 2149952320677. Its totient is φ = 391295873280.

The previous prime is 984480684097. The next prime is 984480684101. The reversal of 984480684100 is 1486084489.

The square root of 984480684100 is 992210.

It is a perfect power (a square), and thus also a powerful number.

984480684100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 662801143876 + 321679540224 = 814126^2 + 567168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (984480684101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3105617142 + ... + 3105617458.

Almost surely, 2^984480684100 is an apocalyptic number.

984480684100 is the 992210-th square number.

It is an amenable number.

984480684100 is an abundant number, since it is smaller than the sum of its proper divisors (1165471636577).

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

984480684100 is an equidigital number, since it uses as much as digits as its factorization.

984480684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 984480684100 in words is "nine hundred eighty-four billion, four hundred eighty million, six hundred eighty-four thousand, one hundred".