409275 has 36 divisors (see below), whose sum is σ = 783432. Its totient is φ = 203520.

The previous prime is 409271. The next prime is 409289. The reversal of 409275 is 572904.

It is not a de Polignac number, because 409275 - 2² = 409271 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409275.

It is not an unprimeable number, because it can be changed into a prime (409271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3772 + ... + 3878.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2⁴⁰⁹²⁷⁵ is an apocalyptic number.

409275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

409275 is a deficient number, since it is larger than the sum of its proper divisors (374157).

409275 is a wasteful number, since it uses less digits than its factorization.

409275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 409275 is about 639.7460433641. The cubic root of 409275 is about 74.2457740002.

The spelling of 409275 in words is "four hundred nine thousand, two hundred seventy-five".