409080 has 64 divisors (see below), whose sum is σ = 1405440. Its totient is φ = 93312.

The previous prime is 409069. The next prime is 409081. The reversal of 409080 is 80904.

409080 = T₈₁ + T₈₂ + ... + T₁₄₃.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2⁴⁰⁹⁰⁸⁰ is an apocalyptic number.

409080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702720).

409080 is an abundant number, since it is smaller than the sum of its proper divisors (996360).

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

409080 is a wasteful number, since it uses less digits than its factorization.

409080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 409080 is about 639.5936209813. The cubic root of 409080 is about 74.2339806047.

Adding to 409080 its reverse (80904), we get a palindrome (489984).

The spelling of 409080 in words is "four hundred nine thousand, eighty".