220404940 has 144 divisors (see below), whose sum is σ = 576072000. Its totient is φ = 70785792.

The previous prime is 220404937. The next prime is 220404973. The reversal of 220404940 is 49404022.

220404940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2476416 + ... + 2476504.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 2^220404940 is an apocalyptic number.

220404940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220404940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036000).

220404940 is an abundant number, since it is smaller than the sum of its proper divisors (355667060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220404940 is a wasteful number, since it uses less digits than its factorization.

220404940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 220404940 is about 14846.0412231679. The cubic root of 220404940 is about 604.0512324421.

Adding to 220404940 its reverse (49404022), we get a palindrome (269808962).

The spelling of 220404940 in words is "two hundred twenty million, four hundred four thousand, nine hundred forty".