401104 has 40 divisors (see below), whose sum is σ = 883872. Its totient is φ = 174720.

The previous prime is 401101. The next prime is 401113.

401104 is nontrivially palindromic in base 10.

401104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7542 + ... + 7594.

2⁴⁰¹¹⁰⁴ is an apocalyptic number.

401104 is a gapful number since it is divisible by the number (44) 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 401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936).

401104 is an abundant number, since it is smaller than the sum of its proper divisors (482768).

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

401104 is a wasteful number, since it uses less digits than its factorization.

401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 401104 is about 633.3277192734. The cubic root of 401104 is about 73.7483538845.

It can be divided in two parts, 401 and 104, that added together give a palindrome (505).

The spelling of 401104 in words is "four hundred one thousand, one hundred four", and thus it is an iban number.