998447100 has 144 divisors (see below), whose sum is σ = 3378617088. Its totient is φ = 222888960.

The previous prime is 998447053. The next prime is 998447141. The reversal of 998447100 is 1744899.

It is a super-3 number, since 3×998447100³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84772 + ... + 95828.

Almost surely, 2^998447100 is an apocalyptic number.

998447100 is the 25800-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998447100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689308544).

998447100 is an abundant number, since it is smaller than the sum of its proper divisors (2380169988).

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

998447100 is a wasteful number, since it uses less digits than its factorization.

998447100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 998447100 is about 31598.2135570984. The cubic root of 998447100 is about 999.4820984910.

The spelling of 998447100 in words is "nine hundred ninety-eight million, four hundred forty-seven thousand, one hundred".