409297261 has 2 divisors, whose sum is σ = 409297262. Its totient is φ = 409297260.

The previous prime is 409297243. The next prime is 409297279. The reversal of 409297261 is 162792904.

It is a balanced prime because it is at equal distance from previous prime (409297243) and next prime (409297279).

It can be written as a sum of positive squares in only one way, i.e., 405257161 + 4040100 = 20131^2 + 2010^2 .

It is a cyclic number.

It is not a de Polignac number, because 409297261 - 2¹⁷ = 409166189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409297241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204648630 + 204648631.

It is an arithmetic number, because the mean of its divisors is an integer number (204648631).

Almost surely, 2^409297261 is an apocalyptic number.

It is an amenable number.

409297261 is a deficient number, since it is larger than the sum of its proper divisors (1).

409297261 is an equidigital number, since it uses as much as digits as its factorization.

409297261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 409297261 is about 20231.0963865036. The cubic root of 409297261 is about 742.4712008389.

The spelling of 409297261 in words is "four hundred nine million, two hundred ninety-seven thousand, two hundred sixty-one".