220476480 has 336 divisors, whose sum is σ = 840882240. Its totient is φ = 48771072.

The previous prime is 220476467. The next prime is 220476481. The reversal of 220476480 is 84674022.

220476480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (220476481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022666 + ... + 2022774.

Almost surely, 2^220476480 is an apocalyptic number.

220476480 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 220476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441120).

220476480 is an abundant number, since it is smaller than the sum of its proper divisors (620405760).

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

220476480 is a wasteful number, since it uses less digits than its factorization.

220476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 220476480 is about 14848.4504242025. The cubic root of 220476480 is about 604.1165805698.

The spelling of 220476480 in words is "two hundred twenty million, four hundred seventy-six thousand, four hundred eighty".