409541 has 8 divisors (see below), whose sum is σ = 461568. Its totient is φ = 360000.

The previous prime is 409529. The next prime is 409543. The reversal of 409541 is 145904.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409541 - 2⁶ = 409477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (57696).

2⁴⁰⁹⁵⁴¹ is an apocalyptic number.

It is an amenable number.

409541 is a deficient number, since it is larger than the sum of its proper divisors (52027).

409541 is a wasteful number, since it uses less digits than its factorization.

409541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 409541 is about 639.9539045900. The cubic root of 409541 is about 74.2618553627.

The spelling of 409541 in words is "four hundred nine thousand, five hundred forty-one".