412680 has 64 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 103680.

The previous prime is 412667. The next prime is 412717. The reversal of 412680 is 86214.

It is a congruent number.

It is an unprimeable number.

412680 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, 2190 + ... + 2370.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁴¹²⁶⁸⁰ is an apocalyptic number.

412680 is a gapful number since it is divisible by the number (40) 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 412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

412680 is an abundant number, since it is smaller than the sum of its proper divisors (897720).

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

412680 is a wasteful number, since it uses less digits than its factorization.

412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412680 is about 642.4017434597. The cubic root of 412680 is about 74.4511037499.

Adding to 412680 its reverse (86214), we get a palindrome (498894).

The spelling of 412680 in words is "four hundred twelve thousand, six hundred eighty".