411800 has 48 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 156800.

The previous prime is 411799. The next prime is 411809. The reversal of 411800 is 8114.

It is a happy number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5765 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2⁴¹¹⁸⁰⁰ is an apocalyptic number.

411800 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 411800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

411800 is an abundant number, since it is smaller than the sum of its proper divisors (592600).

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

411800 is a wasteful number, since it uses less digits than its factorization.

411800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 411800 is about 641.7164482854. The cubic root of 411800 is about 74.3981461750.

Adding to 411800 its reverse (8114), we get a palindrome (419914).

The spelling of 411800 in words is "four hundred eleven thousand, eight hundred".