458846973 has 12 divisors (see below), whose sum is σ = 713762140. Its totient is φ = 282367296.

The previous prime is 458846963. The next prime is 458847001. The reversal of 458846973 is 379648854.

It can be written as a sum of positive squares in 2 ways, for example, as 309689604 + 149157369 = 17598^2 + 12213^2 .

It is not a de Polignac number, because 458846973 - 2⁶ = 458846909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458846933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960768 + ... + 1961001.

Almost surely, 2^458846973 is an apocalyptic number.

It is an amenable number.

458846973 is a deficient number, since it is larger than the sum of its proper divisors (254915167).

458846973 is a wasteful number, since it uses less digits than its factorization.

458846973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921788 (or 3921785 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 458846973 is about 21420.7136435741. The cubic root of 458846973 is about 771.2987431575.

The spelling of 458846973 in words is "four hundred fifty-eight million, eight hundred forty-six thousand, nine hundred seventy-three".