412566 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 99360.

The previous prime is 412561. The next prime is 412567. The reversal of 412566 is 665214.

It is a d-powerful number, because it can be written as 4⁴ + 1 + 5 + 2¹⁷ + 6⁴ + 6⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412561) by changing a digit.

412566 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 31 ways as a sum of consecutive naturals, for example, 8755 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁴¹²⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

412566 is an abundant number, since it is smaller than the sum of its proper divisors (693354).

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

412566 is a wasteful number, since it uses less digits than its factorization.

412566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its digits is 1440, while the sum is 24.

The square root of 412566 is about 642.3130078085. The cubic root of 412566 is about 74.4442475841. Note that the first 3 decimals are identical.

The spelling of 412566 in words is "four hundred twelve thousand, five hundred sixty-six".