408249 has 6 divisors (see below), whose sum is σ = 589706. Its totient is φ = 272160.

The previous prime is 408241. The next prime is 408251. The reversal of 408249 is 942804.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 189225 = 468^2 + 435^2 .

It is not a de Polignac number, because 408249 - 2³ = 408241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408249.

It is not an unprimeable number, because it can be changed into a prime (408241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22672 + ... + 22689.

2⁴⁰⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

408249 is a deficient number, since it is larger than the sum of its proper divisors (181457).

408249 is a wasteful number, since it uses less digits than its factorization.

408249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45367 (or 45364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 408249 is about 638.9436594881. The cubic root of 408249 is about 74.1836805361.

The spelling of 408249 in words is "four hundred eight thousand, two hundred forty-nine".