412560 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 109440.

The previous prime is 412537. The next prime is 412561. The reversal of 412560 is 65214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412560.

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

412560 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, 2065 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁴¹²⁵⁶⁰ is an apocalyptic number.

412560 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 412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

412560 is an abundant number, since it is smaller than the sum of its proper divisors (1015920).

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

412560 is a wasteful number, since it uses less digits than its factorization.

412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412560 is about 642.3083371715. The cubic root of 412560 is about 74.4438866983.

Adding to 412560 its reverse (65214), we get a palindrome (477774).

It can be divided in two parts, 41 and 2560, that added together give a square (2601 = 51²).

The spelling of 412560 in words is "four hundred twelve thousand, five hundred sixty".