411936 has 48 divisors (see below), whose sum is σ = 1237824. Its totient is φ = 117504.

The previous prime is 411923. The next prime is 411937. The reversal of 411936 is 639114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 411936.

It is not an unprimeable number, because it can be changed into a prime (411937) by changing a digit.

411936 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 7 ways as a sum of consecutive naturals, for example, 366 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (25788).

2⁴¹¹⁹³⁶ 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 411936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618912).

411936 is an abundant number, since it is smaller than the sum of its proper divisors (825888).

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

411936 is a wasteful number, since it uses less digits than its factorization.

411936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 411936 is about 641.8224053428. The cubic root of 411936 is about 74.4063354531.

The spelling of 411936 in words is "four hundred eleven thousand, nine hundred thirty-six".