409741 has 8 divisors (see below), whose sum is σ = 432000. Its totient is φ = 388080.

The previous prime is 409733. The next prime is 409753. The reversal of 409741 is 147904.

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 409741 - 2³ = 409733 is a prime.

It is a Duffinian number.

409741 is a lucky number.

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 (409711) 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 7 ways as a sum of consecutive naturals, for example, 1960 + ... + 2158.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁴⁰⁹⁷⁴¹ is an apocalyptic number.

It is an amenable number.

409741 is a deficient number, since it is larger than the sum of its proper divisors (22259).

409741 is a wasteful number, since it uses less digits than its factorization.

409741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 409741 is about 640.1101467716. The cubic root of 409741 is about 74.2739420272.

The spelling of 409741 in words is "four hundred nine thousand, seven hundred forty-one".