481104 has 60 divisors (see below), whose sum is σ = 1455636. Its totient is φ = 147456.

The previous prime is 481097. The next prime is 481109. The reversal of 481104 is 401184.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 176400 = 552^2 + 420^2 .

It is a super-2 number, since 2×481104² = 462922117632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481109) by changing a digit.

481104 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 11 ways as a sum of consecutive naturals, for example, 1744 + ... + 2000.

2⁴⁸¹¹⁰⁴ 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 481104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727818).

481104 is an abundant number, since it is smaller than the sum of its proper divisors (974532).

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

481104 is a wasteful number, since it uses less digits than its factorization.

481104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 481104 is about 693.6166087977. The cubic root of 481104 is about 78.3573348311.

Adding to 481104 its reverse (401184), we get a palindrome (882288).

It can be divided in two parts, 481 and 104, that added together give a palindrome (585).

The spelling of 481104 in words is "four hundred eighty-one thousand, one hundred four".