410168 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 180960.

The previous prime is 410149. The next prime is 410171. The reversal of 410168 is 861014.

410168 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

410168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5153 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁴¹⁰¹⁶⁸ 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 410168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

410168 is an abundant number, since it is smaller than the sum of its proper divisors (453832).

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

410168 is a wasteful number, since it uses less digits than its factorization.

410168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 410168 is about 640.4435962675. The cubic root of 410168 is about 74.2997338995.

The spelling of 410168 in words is "four hundred ten thousand, one hundred sixty-eight".