411012 has 54 divisors (see below), whose sum is σ = 1213758. Its totient is φ = 116928.

The previous prime is 411011. The next prime is 411013. The reversal of 411012 is 210114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411011) and next prime (411013).

It can be written as a sum of positive squares in only one way, i.e., 298116 + 112896 = 546^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 410985 and 411003.

It is not an unprimeable number, because it can be changed into a prime (411011) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1648 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (22477).

2⁴¹¹⁰¹² is an apocalyptic number.

411012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606879).

411012 is an abundant number, since it is smaller than the sum of its proper divisors (802746).

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

411012 is a wasteful number, since it uses less digits than its factorization.

411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 411012 is about 641.1021759439. The cubic root of 411012 is about 74.3506610095.

Adding to 411012 its reverse (210114), we get a palindrome (621126).

The spelling of 411012 in words is "four hundred eleven thousand, twelve", and thus it is an iban number.