466728080625 has 45 divisors (see below), whose sum is σ = 842526307623. Its totient is φ = 248894316000.

The previous prime is 466728080617. The next prime is 466728080641. The reversal of 466728080625 is 526080827664.

The square root of 466728080625 is 683175.

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

466728080625 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 2 + 8 + 0 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 465122636001 + 1605444624 = 681999^2 + 40068^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 466728080625 - 2³ = 466728080617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51233571 + ... + 51242679.

Almost surely, 2^466728080625 is an apocalyptic number.

466728080625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

466728080625 is the 683175-th square number.

466728080625 is the 341588-th centered octagonal number.

It is an amenable number.

466728080625 is a deficient number, since it is larger than the sum of its proper divisors (375798226998).

466728080625 is an frugal number, since it uses more digits than its factorization.

466728080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18244 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 466728080625 in words is "four hundred sixty-six billion, seven hundred twenty-eight million, eighty thousand, six hundred twenty-five".