462262650201 has 45 divisors (see below), whose sum is σ = 734871778095. Its totient is φ = 280009604160.

The previous prime is 462262650193. The next prime is 462262650209. The reversal of 462262650201 is 102056262264.

The square root of 462262650201 is 679899.

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

462262650201 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 626 + 5 + 0 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (462262650193) and next prime (462262650209).

It can be written as a sum of positive squares in only one way, i.e., 12257811225 + 450004838976 = 110715^2 + 670824^2 .

It is not a de Polignac number, because 462262650201 - 2³ = 462262650193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (462262650209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 246802401 + ... + 246804273.

Almost surely, 2^462262650201 is an apocalyptic number.

462262650201 is the 679899-th square number.

462262650201 is the 339950-th centered octagonal number.

It is an amenable number.

462262650201 is a deficient number, since it is larger than the sum of its proper divisors (272609127894).

462262650201 is an frugal number, since it uses more digits than its factorization.

462262650201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 462262650201 by its sum of digits (36), we get a square (16641455407236 = 4079394²).

The spelling of 462262650201 in words is "four hundred sixty-two billion, two hundred sixty-two million, six hundred fifty thousand, two hundred one".