458989302272 has 90 divisors (see below), whose sum is σ = 931294946043. Its totient is φ = 225991793664.

The previous prime is 458989302181. The next prime is 458989302301. The reversal of 458989302272 is 272203989854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 229494651136 + 229494651136 = 479056^2 + 479056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=479056.

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 8 ways as a sum of consecutive naturals, for example, 1211053379 + ... + 1211053757.

Almost surely, 2^458989302272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458989302272

458989302272 is an abundant number, since it is smaller than the sum of its proper divisors (472305643771).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

458989302272 is an frugal number, since it uses more digits than its factorization.

458989302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 458989302272 in words is "four hundred fifty-eight billion, nine hundred eighty-nine million, three hundred two thousand, two hundred seventy-two".