460966313025 has 27 divisors (see below), whose sum is σ = 825660126499. Its totient is φ = 245843268720.

The previous prime is 460966313011. The next prime is 460966313069. The reversal of 460966313025 is 520313669064.

The square root of 460966313025 is 678945.

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

460966313025 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 6 + 631 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165947872689 + 295018440336 = 407367^2 + 543156^2 .

It is not a de Polignac number, because 460966313025 - 2⁷ = 460966312897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10161544 + ... + 10206806.

Almost surely, 2^460966313025 is an apocalyptic number.

460966313025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460966313025 is the 678945-th square number.

460966313025 is the 339473-rd centered octagonal number.

It is an amenable number.

460966313025 is a deficient number, since it is larger than the sum of its proper divisors (364693813474).

460966313025 is an frugal number, since it uses more digits than its factorization.

460966313025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90542 (or 45271 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 460966313025 in words is "four hundred sixty billion, nine hundred sixty-six million, three hundred thirteen thousand, twenty-five".