459973 has 4 divisors (see below), whose sum is σ = 466348. Its totient is φ = 453600.

The previous prime is 459961. The next prime is 460013. The reversal of 459973 is 379954.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 379954 = 2 ⋅189977.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 187489 = 522^2 + 433^2 .

It is a cyclic number.

It is not a de Polignac number, because 459973 - 2¹⁷ = 328901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3078 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (116587).

2⁴⁵⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

459973 is a deficient number, since it is larger than the sum of its proper divisors (6375).

459973 is an equidigital number, since it uses as much as digits as its factorization.

459973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374.

The product of its digits is 34020, while the sum is 37.

The square root of 459973 is about 678.2130933564. The cubic root of 459973 is about 77.1929159383.

The spelling of 459973 in words is "four hundred fifty-nine thousand, nine hundred seventy-three".