1004224401 has 6 divisors (see below), whose sum is σ = 1450546370. Its totient is φ = 669482928.

The previous prime is 1004224373. The next prime is 1004224409. The reversal of 1004224401 is 1044224001.

It can be written as a sum of positive squares in only one way, i.e., 928116225 + 76108176 = 30465^2 + 8724^2 .

It is not a de Polignac number, because 1004224401 - 2¹⁵ = 1004191633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004224409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55790236 + ... + 55790253.

Almost surely, 2^1004224401 is an apocalyptic number.

It is an amenable number.

1004224401 is a deficient number, since it is larger than the sum of its proper divisors (446321969).

1004224401 is a wasteful number, since it uses less digits than its factorization.

1004224401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111580495 (or 111580492 counting only the distinct ones).

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

The square root of 1004224401 is about 31689.4998540526. The cubic root of 1004224401 is about 1001.4061554667.

Adding to 1004224401 its reverse (1044224001), we get a palindrome (2048448402).

It can be divided in two parts, 10042 and 24401, that added together give a palindrome (34443).

The spelling of 1004224401 in words is "one billion, four million, two hundred twenty-four thousand, four hundred one".