409013 has 12 divisors (see below), whose sum is σ = 475488. Its totient is φ = 348840.

The previous prime is 409007. The next prime is 409021. The reversal of 409013 is 310904.

It is not a de Polignac number, because 409013 - 2⁴ = 408997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 408982 and 409000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3920 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2⁴⁰⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

409013 is a deficient number, since it is larger than the sum of its proper divisors (66475).

409013 is a wasteful number, since it uses less digits than its factorization.

409013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 409013 is about 639.5412418289. The cubic root of 409013 is about 74.2299276498.

Adding to 409013 its reverse (310904), we get a palindrome (719917).

It can be divided in two parts, 40901 and 3, that added together give a palindrome (40904).

The spelling of 409013 in words is "four hundred nine thousand, thirteen".