411200 has 42 divisors (see below), whose sum is σ = 1015746. Its totient is φ = 163840.

The previous prime is 411197. The next prime is 411211. The reversal of 411200 is 2114.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 287296 = 352^2 + 536^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1472 + ... + 1728.

2⁴¹¹²⁰⁰ is an apocalyptic number.

411200 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 411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507873).

411200 is an abundant number, since it is smaller than the sum of its proper divisors (604546).

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

411200 is a wasteful number, since it uses less digits than its factorization.

411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 411200 is about 641.2487816753. The cubic root of 411200 is about 74.3619954666.

Adding to 411200 its reverse (2114), we get a palindrome (413314).

The spelling of 411200 in words is "four hundred eleven thousand, two hundred", and thus it is an iban number.