1004434224 has 80 divisors (see below), whose sum is σ = 2706493440. Its totient is φ = 320624640.

The previous prime is 1004434213. The next prime is 1004434243. The reversal of 1004434224 is 4224344001.

It is a happy number.

It is a super-2 number, since 2×1004434224² = 2017776220684964352, which contains 22 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 = 1004434194 and 1004434203.

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, 140857 + ... + 147815.

It is an arithmetic number, because the mean of its divisors is an integer number (33831168).

Almost surely, 2^1004434224 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 1004434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353246720).

1004434224 is an abundant number, since it is smaller than the sum of its proper divisors (1702059216).

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

1004434224 is a wasteful number, since it uses less digits than its factorization.

1004434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1004434224 is about 31692.8102887705. The cubic root of 1004434224 is about 1001.4758953280.

Adding to 1004434224 its reverse (4224344001), we get a palindrome (5228778225).

The spelling of 1004434224 in words is "one billion, four million, four hundred thirty-four thousand, two hundred twenty-four".