988416200 has 48 divisors (see below), whose sum is σ = 2323930500. Its totient is φ = 390917120.

The previous prime is 988416173. The next prime is 988416211. The reversal of 988416200 is 2614889.

It can be written as a sum of positive squares in 6 ways, for example, as 15100996 + 973315204 = 3886^2 + 31198^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9965 + ... + 45564.

Almost surely, 2^988416200 is an apocalyptic number.

It is an amenable number.

988416200 is an abundant number, since it is smaller than the sum of its proper divisors (1335514300).

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

988416200 is a wasteful number, since it uses less digits than its factorization.

988416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55634 (or 55625 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 988416200 is about 31439.0871368747. The cubic root of 988416200 is about 996.1237272573.

The spelling of 988416200 in words is "nine hundred eighty-eight million, four hundred sixteen thousand, two hundred".