411872 has 24 divisors (see below), whose sum is σ = 828072. Its totient is φ = 201600.

The previous prime is 411841. The next prime is 411883. The reversal of 411872 is 278114.

It is a congruent number.

It is an unprimeable number.

411872 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 3 ways as a sum of consecutive naturals, for example, 1847 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (34503).

2⁴¹¹⁸⁷² 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 411872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414036).

411872 is an abundant number, since it is smaller than the sum of its proper divisors (416200).

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

411872 is a wasteful number, since it uses less digits than its factorization.

411872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 411872 is about 641.7725453773. The cubic root of 411872 is about 74.4024818997.

Adding to 411872 its reverse (278114), we get a palindrome (689986).

The spelling of 411872 in words is "four hundred eleven thousand, eight hundred seventy-two".