409875 has 16 divisors (see below), whose sum is σ = 682656. Its totient is φ = 218400.

The previous prime is 409867. The next prime is 409879. The reversal of 409875 is 578904.

409875 = T₁₀ + T₁₁ + ... + T₁₃₄.

It is not a de Polignac number, because 409875 - 2³ = 409867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409879) 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 15 ways as a sum of consecutive naturals, for example, 172 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (42666).

2⁴⁰⁹⁸⁷⁵ is an apocalyptic number.

409875 is a deficient number, since it is larger than the sum of its proper divisors (272781).

409875 is a wasteful number, since it uses less digits than its factorization.

409875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 409875 is about 640.2148077013. The cubic root of 409875 is about 74.2820378922.

The spelling of 409875 in words is "four hundred nine thousand, eight hundred seventy-five".