457897175761 has 9 divisors (see below), whose sum is σ = 459860462161. Its totient is φ = 455942244352.

The previous prime is 457897175753. The next prime is 457897175807. The reversal of 457897175761 is 167571798754.

The square root of 457897175761 is 676681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37837641361 + 420059534400 = 194519^2 + 648120^2 .

It is not a de Polignac number, because 457897175761 - 2³ = 457897175753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457897175731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173905701 + ... + 173908333.

Almost surely, 2^457897175761 is an apocalyptic number.

457897175761 is the 676681-st square number.

457897175761 is the 338341-st centered octagonal number.

It is an amenable number.

457897175761 is a deficient number, since it is larger than the sum of its proper divisors (1963286400).

457897175761 is an frugal number, since it uses more digits than its factorization.

457897175761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 2890 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 67.

The spelling of 457897175761 in words is "four hundred fifty-seven billion, eight hundred ninety-seven million, one hundred seventy-five thousand, seven hundred sixty-one".