457686075625 has 15 divisors (see below), whose sum is σ = 571945655523. Its totient is φ = 366135330000.

The previous prime is 457686075557. The next prime is 457686075629. The reversal of 457686075625 is 526570686754.

It is a happy number.

The square root of 457686075625 is 676525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 455413074649 + 2273000976 = 674843^2 + 47676^2 .

It is not a de Polignac number, because 457686075625 - 2¹⁷ = 457685944553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457686075629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16899595 + ... + 16926655.

Almost surely, 2^457686075625 is an apocalyptic number.

457686075625 is the 676525-th square number.

457686075625 is the 338263-rd centered octagonal number.

It is an amenable number.

457686075625 is a deficient number, since it is larger than the sum of its proper divisors (114259579898).

457686075625 is an frugal number, since it uses more digits than its factorization.

457686075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54142 (or 27066 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 61.

The spelling of 457686075625 in words is "four hundred fifty-seven billion, six hundred eighty-six million, seventy-five thousand, six hundred twenty-five".