1004444001 has 24 divisors (see below), whose sum is σ = 1591630560. Its totient is φ = 605342400.

The previous prime is 1004443991. The next prime is 1004444033.

1004444001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1004444001 - 2¹⁴ = 1004427617 is a prime.

It is a super-2 number, since 2×1004444001² = 2017815502289776002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004444041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10620 + ... + 46061.

It is an arithmetic number, because the mean of its divisors is an integer number (66317940).

Almost surely, 2^1004444001 is an apocalyptic number.

1004444001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004444001 is a deficient number, since it is larger than the sum of its proper divisors (587186559).

1004444001 is a wasteful number, since it uses less digits than its factorization.

1004444001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56877 (or 56874 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1004444001 is about 31692.9645347355. The cubic root of 1004444001 is about 1001.4791447188.

It can be divided in two parts, 10044 and 44001, that added together give a palindrome (54045).

The spelling of 1004444001 in words is "one billion, four million, four hundred forty-four thousand, one".