1004431241 has 16 divisors (see below), whose sum is σ = 1104246528. Its totient is φ = 906066000.

The previous prime is 1004431231. The next prime is 1004431261. The reversal of 1004431241 is 1421344001.

It is a cyclic number.

It is not a de Polignac number, because 1004431241 - 2¹⁴ = 1004414857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004431231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955166 + ... + 956216.

It is an arithmetic number, because the mean of its divisors is an integer number (69015408).

Almost surely, 2^1004431241 is an apocalyptic number.

1004431241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004431241 is a deficient number, since it is larger than the sum of its proper divisors (99815287).

1004431241 is a wasteful number, since it uses less digits than its factorization.

1004431241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1004431241 is about 31692.7632275887. The cubic root of 1004431241 is about 1001.4749039223.

Adding to 1004431241 its reverse (1421344001), we get a palindrome (2425775242).

The spelling of 1004431241 in words is "one billion, four million, four hundred thirty-one thousand, two hundred forty-one".