411120 has 60 divisors (see below), whose sum is σ = 1383096. Its totient is φ = 109440.

The previous prime is 411119. The next prime is 411127. The reversal of 411120 is 21114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435 + ... + 1005.

2⁴¹¹¹²⁰ is an apocalyptic number.

411120 is a gapful number since it is divisible by the number (40) 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 411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691548).

411120 is an abundant number, since it is smaller than the sum of its proper divisors (971976).

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

411120 is a wasteful number, since it uses less digits than its factorization.

411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

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

The square root of 411120 is about 641.1864003548. The cubic root of 411120 is about 74.3571727157.

Adding to 411120 its reverse (21114), we get a palindrome (432234).

The spelling of 411120 in words is "four hundred eleven thousand, one hundred twenty", and thus it is an iban number.