409072 has 20 divisors (see below), whose sum is σ = 815176. Its totient is φ = 198720.

The previous prime is 409069. The next prime is 409081. The reversal of 409072 is 270904.

409072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 247 + ... + 937.

2⁴⁰⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

409072 is a deficient number, since it is larger than the sum of its proper divisors (406104).

409072 is a wasteful number, since it uses less digits than its factorization.

409072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 409072 is about 639.5873669797. The cubic root of 409072 is about 74.2334966930.

Adding to 409072 its reverse (270904), we get a palindrome (679976).

The spelling of 409072 in words is "four hundred nine thousand, seventy-two".