456344 has 32 divisors (see below), whose sum is σ = 1015200. Its totient is φ = 188160.

The previous prime is 456329. The next prime is 456349. The reversal of 456344 is 443654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456349) by changing a digit.

456344 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 7 ways as a sum of consecutive naturals, for example, 1484 + ... + 1764.

It is an arithmetic number, because the mean of its divisors is an integer number (31725).

2⁴⁵⁶³⁴⁴ 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 456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507600).

456344 is an abundant number, since it is smaller than the sum of its proper divisors (558856).

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

456344 is a wasteful number, since it uses less digits than its factorization.

456344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 456344 is about 675.5323826435. The cubic root of 456344 is about 76.9893727954.

Adding to 456344 its reverse (443654), we get a palindrome (899998).

The spelling of 456344 in words is "four hundred fifty-six thousand, three hundred forty-four".