409601 has 4 divisors (see below), whose sum is σ = 412500. Its totient is φ = 406704.

The previous prime is 409597. The next prime is 409609. The reversal of 409601 is 106904.

It is a Cunningham number, because it is equal to 640²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 361201 = 220^2 + 601^2 .

It is a cyclic number.

It is not a de Polignac number, because 409601 - 2² = 409597 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1226 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (103125).

It is a Proth number, since it is equal to 25 ⋅ 2¹⁴ + 1 and 25 < 2¹⁴.

2⁴⁰⁹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

409601 is a deficient number, since it is larger than the sum of its proper divisors (2899).

409601 is a wasteful number, since it uses less digits than its factorization.

409601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 409601 is about 640.0007812495. Note that the first 3 decimals coincide. The cubic root of 409601 is about 74.2654817751.

The spelling of 409601 in words is "four hundred nine thousand, six hundred one".