1998384200 has 108 divisors (see below), whose sum is σ = 4856534865. Its totient is φ = 764709120.

The previous prime is 1998384191. The next prime is 1998384209. The reversal of 1998384200 is 24838991.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1998384191) and next prime (1998384209).

It can be written as a sum of positive squares in 14 ways, for example, as 14394436 + 1983989764 = 3794^2 + 44542^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31610.

It is not an unprimeable number, because it can be changed into a prime (1998384209) 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, 18333746 + ... + 18333854.

Almost surely, 2^1998384200 is an apocalyptic number.

1998384200 is a gapful number since it is divisible by the number (10) 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 1998384200

1998384200 is an abundant number, since it is smaller than the sum of its proper divisors (2858150665).

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

1998384200 is a wasteful number, since it uses less digits than its factorization.

1998384200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 1998384200 is about 44703.2907066135. The cubic root of 1998384200 is about 1259.5816617425.

The spelling of 1998384200 in words is "one billion, nine hundred ninety-eight million, three hundred eighty-four thousand, two hundred".