1003998240 has 864 divisors, whose sum is σ = 4517420544. Its totient is φ = 209018880.

The previous prime is 1003998217. The next prime is 1003998253. The reversal of 1003998240 is 428993001.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1003998195 and 1003998204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32387025 + ... + 32387055.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^1003998240 is an apocalyptic number.

1003998240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1003998240 is an abundant number, since it is smaller than the sum of its proper divisors (3513422304).

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

1003998240 is a wasteful number, since it uses less digits than its factorization.

1003998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1003998240 is about 31685.9312629438. The cubic root of 1003998240 is about 1001.3309743879.

The spelling of 1003998240 in words is "one billion, three million, nine hundred ninety-eight thousand, two hundred forty".