413868 has 48 divisors (see below), whose sum is σ = 1191680. Its totient is φ = 108864.

The previous prime is 413867. The next prime is 413869. The reversal of 413868 is 868314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413867) and next prime (413869).

It is not an unprimeable number, because it can be changed into a prime (413863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903 + ... + 1281.

2⁴¹³⁸⁶⁸ 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 413868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595840).

413868 is an abundant number, since it is smaller than the sum of its proper divisors (777812).

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

413868 is a wasteful number, since it uses less digits than its factorization.

413868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 413868 is about 643.3257339793. The cubic root of 413868 is about 74.5224771900.

The spelling of 413868 in words is "four hundred thirteen thousand, eight hundred sixty-eight".