412380 has 72 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 104832.

The previous prime is 412343. The next prime is 412387. The reversal of 412380 is 83214.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412387) by changing a digit.

412380 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 23 ways as a sum of consecutive naturals, for example, 5181 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2⁴¹²³⁸⁰ 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 412380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

412380 is an abundant number, since it is smaller than the sum of its proper divisors (898020).

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

412380 is a wasteful number, since it uses less digits than its factorization.

412380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412380 is about 642.1682022648. The cubic root of 412380 is about 74.4330584964.

Adding to 412380 its reverse (83214), we get a palindrome (495594).

The spelling of 412380 in words is "four hundred twelve thousand, three hundred eighty".