450723 has 24 divisors (see below), whose sum is σ = 749568. Its totient is φ = 235872.

The previous prime is 450719. The next prime is 450727. The reversal of 450723 is 327054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450719) and next prime (450727).

It is not a de Polignac number, because 450723 - 2² = 450719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

450723 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 450723.

It is not an unprimeable number, because it can be changed into a prime (450727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3486 + ... + 3612.

It is an arithmetic number, because the mean of its divisors is an integer number (31232).

2⁴⁵⁰⁷²³ is an apocalyptic number.

450723 is a deficient number, since it is larger than the sum of its proper divisors (298845).

450723 is a wasteful number, since it uses less digits than its factorization.

450723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 450723 is about 671.3590693511. The cubic root of 450723 is about 76.6719614071.

Adding to 450723 its reverse (327054), we get a palindrome (777777).

The spelling of 450723 in words is "four hundred fifty thousand, seven hundred twenty-three".