457640073081 has 27 divisors (see below), whose sum is σ = 670432027629. Its totient is φ = 300816605952.

The previous prime is 457640072927. The next prime is 457640073097. The reversal of 457640073081 is 180370046754.

The square root of 457640073081 is 676491.

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

457640073081 is a `hidden beast` number, since 4 + 576 + 4 + 0 + 0 + 73 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130931804025 + 326708269056 = 361845^2 + 571584^2 .

It is not a de Polignac number, because 457640073081 - 2¹⁵ = 457640040313 is a prime.

It is a super-2 number, since 2×457640073081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (457640073581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148149985 + ... + 148153073.

Almost surely, 2^457640073081 is an apocalyptic number.

457640073081 is the 676491-st square number.

457640073081 is the 338246-th centered octagonal number.

It is an amenable number.

457640073081 is a deficient number, since it is larger than the sum of its proper divisors (212791954548).

457640073081 is an frugal number, since it uses more digits than its factorization.

457640073081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 457640073081 in words is "four hundred fifty-seven billion, six hundred forty million, seventy-three thousand, eighty-one".