412100 has 36 divisors (see below), whose sum is σ = 966084. Its totient is φ = 151680.

The previous prime is 412099. The next prime is 412109. The reversal of 412100 is 1214.

412100 = T₉₉ + T₁₀₀ + ... + T₁₅₀.

It can be written as a sum of positive squares in 6 ways, for example, as 135424 + 276676 = 368^2 + 526^2 .

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412100.

It is not an unprimeable number, because it can be changed into a prime (412109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142 + ... + 1458.

2⁴¹²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483042).

412100 is an abundant number, since it is smaller than the sum of its proper divisors (553984).

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

412100 is a wasteful number, since it uses less digits than its factorization.

412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

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

The square root of 412100 is about 641.9501538282. The cubic root of 412100 is about 74.4162083622.

Adding to 412100 its reverse (1214), we get a palindrome (413314).

It can be divided in two parts, 412 and 100, that added together give a 9-th power (512 = 2⁹).

The spelling of 412100 in words is "four hundred twelve thousand, one hundred", and thus it is an iban number.