1005233424 has 80 divisors (see below), whose sum is σ = 2802028992. Its totient is φ = 308703744.

The previous prime is 1005233401. The next prime is 1005233441. The reversal of 1005233424 is 4243325001.

1005233424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1005233424³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1005233394 and 1005233403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406239 + ... + 408705.

Almost surely, 2^1005233424 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 1005233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401014496).

1005233424 is an abundant number, since it is smaller than the sum of its proper divisors (1796795568).

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

1005233424 is a wasteful number, since it uses less digits than its factorization.

1005233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1005233424 is about 31705.4163196133. The cubic root of 1005233424 is about 1001.7414402920.

Adding to 1005233424 its reverse (4243325001), we get a palindrome (5248558425).

The spelling of 1005233424 in words is "one billion, five million, two hundred thirty-three thousand, four hundred twenty-four".