458308690225 has 27 divisors (see below), whose sum is σ = 576722200171. Its totient is φ = 361293354800.

The previous prime is 458308690163. The next prime is 458308690249. The reversal of 458308690225 is 522096803854.

The square root of 458308690225 is 676985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 164991128481 + 293317561744 = 406191^2 + 541588^2 .

It is not a de Polignac number, because 458308690225 - 2¹¹ = 458308688177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 240328722 + ... + 240330628.

Almost surely, 2^458308690225 is an apocalyptic number.

458308690225 is the 676985-th square number.

458308690225 is the 338493-rd centered octagonal number.

It is an amenable number.

458308690225 is a deficient number, since it is larger than the sum of its proper divisors (118413509946).

458308690225 is an frugal number, since it uses more digits than its factorization.

458308690225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 458308690225 in words is "four hundred fifty-eight billion, three hundred eight million, six hundred ninety thousand, two hundred twenty-five".