220380384 has 192 divisors, whose sum is σ = 710664192. Its totient is φ = 58368000.

The previous prime is 220380343. The next prime is 220380421. The reversal of 220380384 is 483083022.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1153729 + ... + 1153919.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2^220380384 is an apocalyptic number.

220380384 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 220380384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096).

220380384 is an abundant number, since it is smaller than the sum of its proper divisors (490283808).

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

220380384 is a wasteful number, since it uses less digits than its factorization.

220380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 220380384 is about 14845.2141783135. The cubic root of 220380384 is about 604.0287985333.

The spelling of 220380384 in words is "two hundred twenty million, three hundred eighty thousand, three hundred eighty-four".