409040 has 20 divisors (see below), whose sum is σ = 951204. Its totient is φ = 163584.

The previous prime is 409033. The next prime is 409043. The reversal of 409040 is 40904.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 355216 = 232^2 + 596^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409040.

It is not an unprimeable number, because it can be changed into a prime (409043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2477 + ... + 2636.

2⁴⁰⁹⁰⁴⁰ is an apocalyptic number.

409040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409040 is an abundant number, since it is smaller than the sum of its proper divisors (542164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409040 is a wasteful number, since it uses less digits than its factorization.

409040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 409040 is about 639.5623503616. The cubic root of 409040 is about 74.2315609834.

Adding to 409040 its reverse (40904), we get a palindrome (449944).

The spelling of 409040 in words is "four hundred nine thousand, forty".