411768 has 96 divisors (see below), whose sum is σ = 1372800. Its totient is φ = 108864.

The previous prime is 411751. The next prime is 411779. The reversal of 411768 is 867114.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

411768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9555 + ... + 9597.

It is an arithmetic number, because the mean of its divisors is an integer number (14300).

2⁴¹¹⁷⁶⁸ 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 411768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686400).

411768 is an abundant number, since it is smaller than the sum of its proper divisors (961032).

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

411768 is a wasteful number, since it uses less digits than its factorization.

411768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 74 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 411768 is about 641.6915146704. The cubic root of 411768 is about 74.3962190240.

The spelling of 411768 in words is "four hundred eleven thousand, seven hundred sixty-eight".