412284 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 123648.

The previous prime is 412277. The next prime is 412289. The reversal of 412284 is 482214.

It is a self number, because there is not a number n which added to its sum of digits gives 412284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8749 + ... + 8795.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2⁴¹²²⁸⁴ 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 412284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

412284 is an abundant number, since it is smaller than the sum of its proper divisors (652164).

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

412284 is a wasteful number, since it uses less digits than its factorization.

412284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 412284 is about 642.0934511424. The cubic root of 412284 is about 74.4272821670.

Adding to 412284 its reverse (482214), we get a palindrome (894498).

It can be divided in two parts, 412 and 284, that added together give a palindrome (696).

The spelling of 412284 in words is "four hundred twelve thousand, two hundred eighty-four".