220468401 has 12 divisors (see below), whose sum is σ = 318584500. Its totient is φ = 146918880.

The previous prime is 220468361. The next prime is 220468403. The reversal of 220468401 is 104864022.

It can be written as a sum of positive squares in 2 ways, for example, as 104346225 + 116122176 = 10215^2 + 10776^2 .

It is not a de Polignac number, because 220468401 - 2⁶ = 220468337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220468403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35475 + ... + 41223.

Almost surely, 2^220468401 is an apocalyptic number.

It is an amenable number.

220468401 is a deficient number, since it is larger than the sum of its proper divisors (98116099).

220468401 is a wasteful number, since it uses less digits than its factorization.

220468401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220468401 is about 14848.1783731204. The cubic root of 220468401 is about 604.1092015250.

The spelling of 220468401 in words is "two hundred twenty million, four hundred sixty-eight thousand, four hundred one".