461104 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 187968.

The previous prime is 461101. The next prime is 461119. The reversal of 461104 is 401164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (461101) 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 7 ways as a sum of consecutive naturals, for example, 2487 + ... + 2665.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁶¹¹⁰⁴ 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 461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

461104 is an abundant number, since it is smaller than the sum of its proper divisors (610256).

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

461104 is a wasteful number, since it uses less digits than its factorization.

461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 461104 is about 679.0463901679. The cubic root of 461104 is about 77.2561324960.

Adding to 461104 its reverse (401164), we get a palindrome (862268).

It can be divided in two parts, 461 and 104, that added together give a palindrome (565).

The spelling of 461104 in words is "four hundred sixty-one thousand, one hundred four".