220800405 has 32 divisors (see below), whose sum is σ = 405183744. Its totient is φ = 100578816.

The previous prime is 220800337. The next prime is 220800409. The reversal of 220800405 is 504008022.

It is not a de Polignac number, because 220800405 - 2⁷ = 220800277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220800409) 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 31 ways as a sum of consecutive naturals, for example, 27177 + ... + 34353.

It is an arithmetic number, because the mean of its divisors is an integer number (12661992).

Almost surely, 2^220800405 is an apocalyptic number.

It is an amenable number.

220800405 is a deficient number, since it is larger than the sum of its proper divisors (184383339).

220800405 is a wasteful number, since it uses less digits than its factorization.

220800405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 220800405 is about 14859.3541245910. The cubic root of 220800405 is about 604.4122926961.

Adding to 220800405 its reverse (504008022), we get a palindrome (724808427).

The spelling of 220800405 in words is "two hundred twenty million, eight hundred thousand, four hundred five".