412580 has 36 divisors (see below), whose sum is σ = 1010268. Its totient is φ = 141120.

The previous prime is 412571. The next prime is 412589. The reversal of 412580 is 85214.

It is an interprime number because it is at equal distance from previous prime (412571) and next prime (412589).

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 362404 = 224^2 + 602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (412589) by changing a digit.

412580 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 11 ways as a sum of consecutive naturals, for example, 770 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (28063).

2⁴¹²⁵⁸⁰ 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 412580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505134).

412580 is an abundant number, since it is smaller than the sum of its proper divisors (597688).

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

412580 is a wasteful number, since it uses less digits than its factorization.

412580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 412580 is about 642.3239058294. The cubic root of 412580 is about 74.4450896374.

Adding to 412580 its reverse (85214), we get a palindrome (497794).

The spelling of 412580 in words is "four hundred twelve thousand, five hundred eighty".