414162 has 48 divisors (see below), whose sum is σ = 1085760. Its totient is φ = 111456.

The previous prime is 414157. The next prime is 414179. The reversal of 414162 is 261414.

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (22620).

2⁴¹⁴¹⁶² is an apocalyptic number.

414162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542880).

414162 is an abundant number, since it is smaller than the sum of its proper divisors (671598).

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

414162 is a wasteful number, since it uses less digits than its factorization.

414162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

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

The square root of 414162 is about 643.5541935222. The cubic root of 414162 is about 74.5401192259.

Adding to 414162 its reverse (261414), we get a palindrome (675576).

It can be divided in two parts, 414 and 162, that added together give a square (576 = 24²).

The spelling of 414162 in words is "four hundred fourteen thousand, one hundred sixty-two".