456544 has 24 divisors (see below), whose sum is σ = 981288. Its totient is φ = 207360.

The previous prime is 456539. The next prime is 456553. The reversal of 456544 is 445654.

456544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 297 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (40887).

2⁴⁵⁶⁵⁴⁴ is an apocalyptic number.

456544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456544 is an abundant number, since it is smaller than the sum of its proper divisors (524744).

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

456544 is a wasteful number, since it uses less digits than its factorization.

456544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 456544 is about 675.6803978213. The cubic root of 456544 is about 77.0006184242. Note that the first 3 decimals are identical.

It can be divided in two parts, 456 and 544, that added together give a cube (1000 = 10³).

The spelling of 456544 in words is "four hundred fifty-six thousand, five hundred forty-four".