220908480 has 224 divisors, whose sum is σ = 781068288. Its totient is φ = 52531200.

The previous prime is 220908473. The next prime is 220908487. The reversal of 220908480 is 84809022.

It is an interprime number because it is at equal distance from previous prime (220908473) and next prime (220908487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220908487) 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, 386595 + ... + 387165.

It is an arithmetic number, because the mean of its divisors is an integer number (3486912).

Almost surely, 2^220908480 is an apocalyptic number.

220908480 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 220908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390534144).

220908480 is an abundant number, since it is smaller than the sum of its proper divisors (560159808).

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

220908480 is a wasteful number, since it uses less digits than its factorization.

220908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 220908480 is about 14862.9902778680. The cubic root of 220908480 is about 604.5108903470.

The spelling of 220908480 in words is "two hundred twenty million, nine hundred eight thousand, four hundred eighty".