412200 has 72 divisors (see below), whose sum is σ = 1390350. Its totient is φ = 109440.

The previous prime is 412193. The next prime is 412201. The reversal of 412200 is 2214.

It can be written as a sum of positive squares in 3 ways, for example, as 381924 + 30276 = 618^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412200.

It is not an unprimeable number, because it can be changed into a prime (412201) by changing a digit.

412200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 1686 + ... + 1914.

2⁴¹²²⁰⁰ is an apocalyptic number.

412200 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 412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695175).

412200 is an abundant number, since it is smaller than the sum of its proper divisors (978150).

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

412200 is a wasteful number, since it uses less digits than its factorization.

412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 412200 is about 642.0280367710. The cubic root of 412200 is about 74.4222271432.

Adding to 412200 its reverse (2214), we get a palindrome (414414).

The spelling of 412200 in words is "four hundred twelve thousand, two hundred", and thus it is an iban number.