465180221 has 16 divisors (see below), whose sum is σ = 530644608. Its totient is φ = 403656000.

The previous prime is 465180217. The next prime is 465180241. The reversal of 465180221 is 122081564.

465180221 = 4² + 5² + ... + 1117².

It is not a de Polignac number, because 465180221 - 2² = 465180217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465180241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139271 + ... + 142571.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^465180221 is an apocalyptic number.

It is an amenable number.

465180221 is a deficient number, since it is larger than the sum of its proper divisors (65464387).

465180221 is a wasteful number, since it uses less digits than its factorization.

465180221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 465180221 is about 21568.0370224089. The cubic root of 465180221 is about 774.8311646090.

The spelling of 465180221 in words is "four hundred sixty-five million, one hundred eighty thousand, two hundred twenty-one".