409375 has 12 divisors (see below), whose sum is σ = 515592. Its totient is φ = 325000.

The previous prime is 409369. The next prime is 409379. The reversal of 409375 is 573904.

It is a de Polignac number, because none of the positive numbers 2^k-409375 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409379) 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 11 ways as a sum of consecutive naturals, for example, 3060 + ... + 3190.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

409375 is a Friedman number, since it can be written as (4^7-9)*(30-5), using all its digits and the basic arithmetic operations.

2⁴⁰⁹³⁷⁵ is an apocalyptic number.

409375 is a deficient number, since it is larger than the sum of its proper divisors (106217).

409375 is an frugal number, since it uses more digits than its factorization.

409375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 409375 is about 639.8241946035. The cubic root of 409375 is about 74.2518204423.

It can be divided in two parts, 409 and 375, that added together give a square (784 = 28²).

The spelling of 409375 in words is "four hundred nine thousand, three hundred seventy-five".