998097408 has 480 divisors, whose sum is σ = 3753509760. Its totient is φ = 247726080.

The previous prime is 998097407. The next prime is 998097409. The reversal of 998097408 is 804790899.

It is an interprime number because it is at equal distance from previous prime (998097407) and next prime (998097409).

It is not an unprimeable number, because it can be changed into a prime (998097407) 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, 10289616 + ... + 10289712.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^998097408 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 998097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

998097408 is an abundant number, since it is smaller than the sum of its proper divisors (2755412352).

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

998097408 is a wasteful number, since it uses less digits than its factorization.

998097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 998097408 is about 31592.6796584272. The cubic root of 998097408 is about 999.3654000347.

The spelling of 998097408 in words is "nine hundred ninety-eight million, ninety-seven thousand, four hundred eight".