220979304 has 192 divisors, whose sum is σ = 762652800. Its totient is φ = 56222208.

The previous prime is 220979287. The next prime is 220979323. The reversal of 220979304 is 403979022.

220979304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 189427 + ... + 190589.

It is an arithmetic number, because the mean of its divisors is an integer number (3972150).

Almost surely, 2^220979304 is an apocalyptic number.

220979304 is a gapful number since it is divisible by the number (24) 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 220979304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381326400).

220979304 is an abundant number, since it is smaller than the sum of its proper divisors (541673496).

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

220979304 is a wasteful number, since it uses less digits than its factorization.

220979304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 220979304 is about 14865.3726492140. The cubic root of 220979304 is about 604.5754861842.

The spelling of 220979304 in words is "two hundred twenty million, nine hundred seventy-nine thousand, three hundred four".