1005043998 has 48 divisors (see below), whose sum is σ = 2370347280. Its totient is φ = 283215744.

The previous prime is 1005043967. The next prime is 1005043999. The reversal of 1005043998 is 8993405001.

It is a super-3 number, since 3×1005043998³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005043999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953 + ... + 44876.

It is an arithmetic number, because the mean of its divisors is an integer number (49382235).

Almost surely, 2^1005043998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005043998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185173640).

1005043998 is an abundant number, since it is smaller than the sum of its proper divisors (1365303282).

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

1005043998 is a wasteful number, since it uses less digits than its factorization.

1005043998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46921 (or 46914 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1005043998 is about 31702.4288974835. The cubic root of 1005043998 is about 1001.6785136821.

Adding to 1005043998 its reverse (8993405001), we get a palindrome (9998448999).

The spelling of 1005043998 in words is "one billion, five million, forty-three thousand, nine hundred ninety-eight".