409124 has 12 divisors (see below), whose sum is σ = 747264. Its totient is φ = 195624.

The previous prime is 409121. The next prime is 409153. The reversal of 409124 is 421904.

409124 = T₁₇₇ + T₁₇₈ + ... + T₁₉₉.

409124 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 409096 and 409105.

It is not an unprimeable number, because it can be changed into a prime (409121) 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, 2132 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (62272).

2⁴⁰⁹¹²⁴ is an apocalyptic number.

It is an amenable number.

409124 is a deficient number, since it is larger than the sum of its proper divisors (338140).

409124 is a wasteful number, since it uses less digits than its factorization.

409124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 409124 is about 639.6280168973. The cubic root of 409124 is about 74.2366420059.

The spelling of 409124 in words is "four hundred nine thousand, one hundred twenty-four".