410112 has 60 divisors (see below), whose sum is σ = 1196910. Its totient is φ = 135168.

The previous prime is 410093. The next prime is 410117. The reversal of 410112 is 211014.

410112 = T₄₈ + T₄₉ + ... + T₁₃₆.

It is a happy number.

410112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 20736 = 624^2 + 144^2 .

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 410094 and 410103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 410112.

It is not an unprimeable number, because it can be changed into a prime (410117) by changing a digit.

410112 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 5 ways as a sum of consecutive naturals, for example, 4564 + ... + 4652.

2⁴¹⁰¹¹² 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 410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598455).

410112 is an abundant number, since it is smaller than the sum of its proper divisors (786798).

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

410112 is an equidigital number, since it uses as much as digits as its factorization.

410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

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

The square root of 410112 is about 640.3998750781. The cubic root of 410112 is about 74.2963523790.

Adding to 410112 its reverse (211014), we get a palindrome (621126).

The spelling of 410112 in words is "four hundred ten thousand, one hundred twelve", and thus it is an iban number.