220400441 has 8 divisors (see below), whose sum is σ = 225886080. Its totient is φ = 214982352.

The previous prime is 220400431. The next prime is 220400471. The reversal of 220400441 is 144004022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220400441 - 2²⁶ = 153291577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220400431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10250 + ... + 23363.

It is an arithmetic number, because the mean of its divisors is an integer number (28235760).

Almost surely, 2^220400441 is an apocalyptic number.

It is an amenable number.

220400441 is a deficient number, since it is larger than the sum of its proper divisors (5485639).

220400441 is an equidigital number, since it uses as much as digits as its factorization.

220400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33775.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 220400441 is about 14845.8897005198. The cubic root of 220400441 is about 604.0471223633.

Adding to 220400441 its reverse (144004022), we get a palindrome (364404463).

The spelling of 220400441 in words is "two hundred twenty million, four hundred thousand, four hundred forty-one".