2405804401 has 63 divisors (see below), whose sum is σ = 3340698123. Its totient is φ = 1730448720.

The previous prime is 2405804381. The next prime is 2405804407. The reversal of 2405804401 is 1044085042.

The square root of 2405804401 is 49049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 355888225 + 2049916176 = 18865^2 + 45276^2 .

It is not a de Polignac number, because 2405804401 - 2¹¹ = 2405802353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2405804401.

It is not an unprimeable number, because it can be changed into a prime (2405804407) 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 62 ways as a sum of consecutive naturals, for example, 185061871 + ... + 185061883.

Almost surely, 2^2405804401 is an apocalyptic number.

2405804401 is the 49049-th square number.

2405804401 is the 24525-th centered octagonal number.

It is an amenable number.

2405804401 is a deficient number, since it is larger than the sum of its proper divisors (934893722).

2405804401 is an frugal number, since it uses more digits than its factorization.

2405804401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The cubic root of 2405804401 is about 1339.9443804419.

Adding to 2405804401 its reverse (1044085042), we get a palindrome (3449889443).

The spelling of 2405804401 in words is "two billion, four hundred five million, eight hundred four thousand, four hundred one".