998409720 has 512 divisors, whose sum is σ = 4047667200. Its totient is φ = 192360960.

The previous prime is 998409697. The next prime is 998409721. The reversal of 998409720 is 27904899.

It is a happy number.

998409720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 998409720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998409721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21242737 + ... + 21242783.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^998409720 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 998409720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023833600).

998409720 is an abundant number, since it is smaller than the sum of its proper divisors (3049257480).

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

998409720 is a wasteful number, since it uses less digits than its factorization.

998409720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 998409720 is about 31597.6220624274. The cubic root of 998409720 is about 999.4696254192.

The spelling of 998409720 in words is "nine hundred ninety-eight million, four hundred nine thousand, seven hundred twenty".