413168 has 60 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 161280.

The previous prime is 413167. The next prime is 413183. The reversal of 413168 is 861314.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13313 + ... + 13343.

2⁴¹³¹⁶⁸ 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 413168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

413168 is an abundant number, since it is smaller than the sum of its proper divisors (604624).

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

413168 is a wasteful number, since it uses less digits than its factorization.

413168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 413168 is about 642.7814558619. The cubic root of 413168 is about 74.4804386881.

The spelling of 413168 in words is "four hundred thirteen thousand, one hundred sixty-eight".