461146221 has 12 divisors (see below), whose sum is σ = 668116800. Its totient is φ = 306500040.

The previous prime is 461146211. The next prime is 461146223. The reversal of 461146221 is 122641164.

461146221 is a `hidden beast` number, since 4 + 611 + 46 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 461146221 - 2⁶ = 461146157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461146223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74421 + ... + 80378.

It is an arithmetic number, because the mean of its divisors is an integer number (55676400).

Almost surely, 2^461146221 is an apocalyptic number.

It is an amenable number.

461146221 is a deficient number, since it is larger than the sum of its proper divisors (206970579).

461146221 is a wasteful number, since it uses less digits than its factorization.

461146221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155136 (or 155133 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 461146221 is about 21474.3153790755. The cubic root of 461146221 is about 772.5849041063.

Adding to 461146221 its reverse (122641164), we get a palindrome (583787385).

The spelling of 461146221 in words is "four hundred sixty-one million, one hundred forty-six thousand, two hundred twenty-one".