412216 has 32 divisors (see below), whose sum is σ = 937440. Its totient is φ = 165888.

The previous prime is 412213. The next prime is 412219. The reversal of 412216 is 612214.

It is an interprime number because it is at equal distance from previous prime (412213) and next prime (412219).

It is a nialpdrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 412216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 1168.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴¹²²¹⁶ 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 412216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

412216 is an abundant number, since it is smaller than the sum of its proper divisors (525224).

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

412216 is a wasteful number, since it uses less digits than its factorization.

412216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 412216 is about 642.0404971651. The cubic root of 412216 is about 74.4231900578.

The spelling of 412216 in words is "four hundred twelve thousand, two hundred sixteen".