414180 has 96 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 100224.

The previous prime is 414179. The next prime is 414199. The reversal of 414180 is 81414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991 + ... + 7049.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2⁴¹⁴¹⁸⁰ 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 414180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

414180 is an abundant number, since it is smaller than the sum of its proper divisors (997020).

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

414180 is a wasteful number, since it uses less digits than its factorization.

414180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414180 is about 643.5681782065. The cubic root of 414180 is about 74.5411990793.

Adding to 414180 its reverse (81414), we get a palindrome (495594).

The spelling of 414180 in words is "four hundred fourteen thousand, one hundred eighty".