458723961 has 12 divisors (see below), whose sum is σ = 669433492. Its totient is φ = 302662656.

The previous prime is 458723953. The next prime is 458723981. The reversal of 458723961 is 169327854.

458723961 is a `hidden beast` number, since 4 + 587 + 2 + 3 + 9 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64304361 + 394419600 = 8019^2 + 19860^2 .

It is not a de Polignac number, because 458723961 - 2³ = 458723953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458723981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261856 + ... + 263601.

Almost surely, 2^458723961 is an apocalyptic number.

It is an amenable number.

458723961 is a deficient number, since it is larger than the sum of its proper divisors (210709531).

458723961 is a wasteful number, since it uses less digits than its factorization.

458723961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525560 (or 525557 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 458723961 is about 21417.8421181967. The cubic root of 458723961 is about 771.2298113302.

It can be divided in two parts, 458723 and 961, that added together give a square (459684 = 678²).

The spelling of 458723961 in words is "four hundred fifty-eight million, seven hundred twenty-three thousand, nine hundred sixty-one".