460160079201 has 81 divisors (see below), whose sum is σ = 723974827251. Its totient is φ = 281586213504.

The previous prime is 460160079187. The next prime is 460160079229. The reversal of 460160079201 is 102970061064.

The square root of 460160079201 is 678351.

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

460160079201 is a `hidden beast` number, since 46 + 0 + 1 + 600 + 7 + 9 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358256117025 + 101903962176 = 598545^2 + 319224^2 .

It is not a de Polignac number, because 460160079201 - 2⁷ = 460160079073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460160079601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1626007206 + ... + 1626007488.

Almost surely, 2^460160079201 is an apocalyptic number.

460160079201 is the 678351-st square number.

460160079201 is the 339176-th centered octagonal number.

It is an amenable number.

460160079201 is a deficient number, since it is larger than the sum of its proper divisors (263814748050).

460160079201 is an equidigital number, since it uses as much as digits as its factorization.

460160079201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 460160079201 by its sum of digits (36), we get a square (16565762851236 = 4070106²).

The spelling of 460160079201 in words is "four hundred sixty billion, one hundred sixty million, seventy-nine thousand, two hundred one".