409212441 has 27 divisors (see below), whose sum is σ = 650766207. Its totient is φ = 247602960.

The previous prime is 409212413. The next prime is 409212497. The reversal of 409212441 is 144212904.

It is a happy number.

The square root of 409212441 is 20229.

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

409212441 is a `hidden beast` number, since 4 + 0 + 9 + 212 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1334025 + 407878416 = 1155^2 + 20196^2 .

It is not a de Polignac number, because 409212441 - 2¹¹ = 409210393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409211441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 667251 + ... + 667863.

Almost surely, 2^409212441 is an apocalyptic number.

409212441 is the 20229-th square number.

409212441 is the 10115-th centered octagonal number.

It is an amenable number.

409212441 is a deficient number, since it is larger than the sum of its proper divisors (241553766).

409212441 is an equidigital number, since it uses as much as digits as its factorization.

409212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 409212441 is about 742.4199090566.

Multiplying 409212441 by its product of nonzero digits (2304), we get a square (942825464064 = 970992²).

The spelling of 409212441 in words is "four hundred nine million, two hundred twelve thousand, four hundred forty-one".