457066588489 has 9 divisors (see below), whose sum is σ = 531695210151. Its totient is φ = 391767305160.

The previous prime is 457066588483. The next prime is 457066588637. The reversal of 457066588489 is 984885660754.

The square root of 457066588489 is 676067.

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., 4164508089 + 452902080400 = 64533^2 + 672980^2 .

It is not a de Polignac number, because 457066588489 - 2¹¹ = 457066586441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457066588483) 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 8 ways as a sum of consecutive naturals, for example, 4684179 + ... + 4780759.

Almost surely, 2^457066588489 is an apocalyptic number.

457066588489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

457066588489 is the 676067-th square number.

457066588489 is the 338034-th centered octagonal number.

It is an amenable number.

457066588489 is a deficient number, since it is larger than the sum of its proper divisors (74628621662).

457066588489 is an frugal number, since it uses more digits than its factorization.

457066588489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193176 (or 96588 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 457066588489 in words is "four hundred fifty-seven billion, sixty-six million, five hundred eighty-eight thousand, four hundred eighty-nine".