998725200 has 240 divisors, whose sum is σ = 3611822400. Its totient is φ = 233676800.

The previous prime is 998725193. The next prime is 998725207. The reversal of 998725200 is 2527899.

998725200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (998725193) and next prime (998725207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998725207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381496 + ... + 384104.

It is an arithmetic number, because the mean of its divisors is an integer number (15049260).

Almost surely, 2^998725200 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 998725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805911200).

998725200 is an abundant number, since it is smaller than the sum of its proper divisors (2613097200).

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

998725200 is a wasteful number, since it uses less digits than its factorization.

998725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 998725200 is about 31602.6138159488. The cubic root of 998725200 is about 999.5748859703.

The spelling of 998725200 in words is "nine hundred ninety-eight million, seven hundred twenty-five thousand, two hundred".