456304 has 30 divisors (see below), whose sum is σ = 944880. Its totient is φ = 213408.

The previous prime is 456293. The next prime is 456329. The reversal of 456304 is 403654.

It is a congruent number.

It is an unprimeable number.

456304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 5737 + ... + 5815.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

2⁴⁵⁶³⁰⁴ 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 456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

456304 is an abundant number, since it is smaller than the sum of its proper divisors (488576).

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

456304 is a wasteful number, since it uses less digits than its factorization.

456304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 456304 is about 675.5027757160. The cubic root of 456304 is about 76.9871232754.

Adding to 456304 its reverse (403654), we get a palindrome (859958).

Subtracting from 456304 its reverse (403654), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 456304 in words is "four hundred fifty-six thousand, three hundred four".