409800 has 48 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 109120.

The previous prime is 409781. The next prime is 409813. The reversal of 409800 is 8904.

409800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409800.

It is an unprimeable number.

409800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2⁴⁰⁹⁸⁰⁰ is an apocalyptic number.

409800 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 409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

409800 is an abundant number, since it is smaller than the sum of its proper divisors (862440).

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

409800 is a wasteful number, since it uses less digits than its factorization.

409800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

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

The square root of 409800 is about 640.1562309312. The cubic root of 409800 is about 74.2775068419.

The spelling of 409800 in words is "four hundred nine thousand, eight hundred".