998467200 has 288 divisors, whose sum is σ = 3662955660. Its totient is φ = 258785280.

The previous prime is 998467121. The next prime is 998467229. The reversal of 998467200 is 2764899.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 312865344 + 685601856 = 17688^2 + 26184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 1065132 + ... + 1066068.

Almost surely, 2^998467200 is an apocalyptic number.

998467200 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 998467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831477830).

998467200 is an abundant number, since it is smaller than the sum of its proper divisors (2664488460).

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

998467200 is a wasteful number, since it uses less digits than its factorization.

998467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 998467200 is about 31598.5316114531. The cubic root of 998467200 is about 999.4888053913.

The spelling of 998467200 in words is "nine hundred ninety-eight million, four hundred sixty-seven thousand, two hundred".