998288400 has 120 divisors (see below), whose sum is σ = 3243167424. Its totient is φ = 262438400.

The previous prime is 998288371. The next prime is 998288407. The reversal of 998288400 is 4882899.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 998288400.

It is not an unprimeable number, because it can be changed into a prime (998288407) 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 23 ways as a sum of consecutive naturals, for example, 79342 + ... + 91058.

Almost surely, 2^998288400 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 998288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621583712).

998288400 is an abundant number, since it is smaller than the sum of its proper divisors (2244879024).

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

998288400 is a wasteful number, since it uses less digits than its factorization.

998288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 998288400 is about 31595.7022393869. The cubic root of 998288400 is about 999.4291408485.

The spelling of 998288400 in words is "nine hundred ninety-eight million, two hundred eighty-eight thousand, four hundred".