409880 has 16 divisors (see below), whose sum is σ = 922320. Its totient is φ = 163936.

The previous prime is 409879. The next prime is 409889. The reversal of 409880 is 88904.

It is a super-2 number, since 2×409880² = 336003228800, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409889) 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, 5084 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

2⁴⁰⁹⁸⁸⁰ is an apocalyptic number.

409880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409880 is an abundant number, since it is smaller than the sum of its proper divisors (512440).

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

409880 is a wasteful number, since it uses less digits than its factorization.

409880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 409880 is about 640.2187126287. The cubic root of 409880 is about 74.2823399425.

The spelling of 409880 in words is "four hundred nine thousand, eight hundred eighty".