456003 has 8 divisors (see below), whose sum is σ = 675600. Its totient is φ = 303984.

The previous prime is 455999. The next prime is 456007. The reversal of 456003 is 300654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (455999) and next prime (456007).

It is not a de Polignac number, because 456003 - 2² = 455999 is a prime.

456003 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456003.

It is not an unprimeable number, because it can be changed into a prime (456007) 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, 8418 + ... + 8471.

It is an arithmetic number, because the mean of its divisors is an integer number (84450).

2⁴⁵⁶⁰⁰³ is an apocalyptic number.

456003 is a deficient number, since it is larger than the sum of its proper divisors (219597).

456003 is a wasteful number, since it uses less digits than its factorization.

456003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16898 (or 16892 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 456003 is about 675.2799419500. The cubic root of 456003 is about 76.9701914191.

Adding to 456003 its reverse (300654), we get a palindrome (756657).

The spelling of 456003 in words is "four hundred fifty-six thousand, three".