409493 has 12 divisors (see below), whose sum is σ = 487692. Its totient is φ = 342720.

The previous prime is 409483. The next prime is 409499. The reversal of 409493 is 394904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 305809 = 322^2 + 553^2 .

It is not a de Polignac number, because 409493 - 2⁴ = 409477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409499) 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, 2921 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (40641).

2⁴⁰⁹⁴⁹³ is an apocalyptic number.

It is an amenable number.

409493 is a deficient number, since it is larger than the sum of its proper divisors (78199).

409493 is a wasteful number, since it uses less digits than its factorization.

409493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 409493 is about 639.9164007900. The cubic root of 409493 is about 74.2589539777.

The spelling of 409493 in words is "four hundred nine thousand, four hundred ninety-three".