998222400 has 336 divisors, whose sum is σ = 4159991680. Its totient is φ = 228096000.

The previous prime is 998222353. The next prime is 998222411. The reversal of 998222400 is 4222899.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300750 + ... + 304050.

Almost surely, 2^998222400 is an apocalyptic number.

998222400 is a gapful number since it is divisible by the number (90) 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 998222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079995840).

998222400 is an abundant number, since it is smaller than the sum of its proper divisors (3161769280).

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

998222400 is a wasteful number, since it uses less digits than its factorization.

998222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 998222400 is about 31594.6577762760. The cubic root of 998222400 is about 999.4071152238.

The spelling of 998222400 in words is "nine hundred ninety-eight million, two hundred twenty-two thousand, four hundred".