409797 has 6 divisors (see below), whose sum is σ = 591942. Its totient is φ = 273192.

The previous prime is 409781. The next prime is 409813. The reversal of 409797 is 797904.

It is an interprime number because it is at equal distance from previous prime (409781) and next prime (409813).

It can be written as a sum of positive squares in only one way, i.e., 349281 + 60516 = 591^2 + 246^2 .

It is not a de Polignac number, because 409797 - 2⁴ = 409781 is a prime.

It is a super-3 number, since 3×409797³ = 206456033336113719, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22758 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (98657).

2⁴⁰⁹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

409797 is a deficient number, since it is larger than the sum of its proper divisors (182145).

409797 is a wasteful number, since it uses less digits than its factorization.

409797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45539 (or 45536 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 409797 is about 640.1538877489. The cubic root of 409797 is about 74.2773255884.

The spelling of 409797 in words is "four hundred nine thousand, seven hundred ninety-seven".