1004311224 has 224 divisors, whose sum is σ = 3280573920. Its totient is φ = 282175488.

The previous prime is 1004311223. The next prime is 1004311237. The reversal of 1004311224 is 4221134001.

1004311224 is a `hidden beast` number, since 10 + 0 + 431 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004311197 and 1004311206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004311223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2979984 + ... + 2980320.

Almost surely, 2^1004311224 is an apocalyptic number.

1004311224 is a gapful number since it is divisible by the number (14) 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 1004311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640286960).

1004311224 is an abundant number, since it is smaller than the sum of its proper divisors (2276262696).

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

1004311224 is an equidigital number, since it uses as much as digits as its factorization.

1004311224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004311224 is about 31690.8697261530. The cubic root of 1004311224 is about 1001.4350144153.

Adding to 1004311224 its reverse (4221134001), we get a palindrome (5225445225).

The spelling of 1004311224 in words is "one billion, four million, three hundred eleven thousand, two hundred twenty-four".