456104 has 32 divisors (see below), whose sum is σ = 959040. Its totient is φ = 201600.

The previous prime is 456091. The next prime is 456107. The reversal of 456104 is 401654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6212 + ... + 6284.

It is an arithmetic number, because the mean of its divisors is an integer number (29970).

2⁴⁵⁶¹⁰⁴ is an apocalyptic number.

456104 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 456104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479520).

456104 is an abundant number, since it is smaller than the sum of its proper divisors (502936).

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

456104 is a wasteful number, since it uses less digits than its factorization.

456104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 456104 is about 675.3547216093. The cubic root of 456104 is about 76.9758737029.

Adding to 456104 its reverse (401654), we get a palindrome (857758).

The spelling of 456104 in words is "four hundred fifty-six thousand, one hundred four".