412104 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 106560.

The previous prime is 412099. The next prime is 412109. The reversal of 412104 is 401214.

It is an interprime number because it is at equal distance from previous prime (412099) and next prime (412109).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 412104.

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

412104 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 15 ways as a sum of consecutive naturals, for example, 1737 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴¹²¹⁰⁴ is an apocalyptic number.

412104 is a gapful number since it is divisible by the number (44) 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 412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

412104 is an abundant number, since it is smaller than the sum of its proper divisors (878136).

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

412104 is a wasteful number, since it uses less digits than its factorization.

412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 412104 is about 641.9532693273. The cubic root of 412104 is about 74.4164491321.

Adding to 412104 its reverse (401214), we get a palindrome (813318).

It can be divided in two parts, 41210 and 4, that added together give a palindrome (41214).

The spelling of 412104 in words is "four hundred twelve thousand, one hundred four", and thus it is an iban number.