220756480 has 160 divisors (see below), whose sum is σ = 615960576. Its totient is φ = 74317824.

The previous prime is 220756451. The next prime is 220756483. The reversal of 220756480 is 84657022.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (220756483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738177 + ... + 1738303.

Almost surely, 2^220756480 is an apocalyptic number.

220756480 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 220756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307980288).

220756480 is an abundant number, since it is smaller than the sum of its proper divisors (395204096).

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

220756480 is an equidigital number, since it uses as much as digits as its factorization.

220756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 220756480 is about 14857.8760258659. The cubic root of 220756480 is about 604.3722103863.

The spelling of 220756480 in words is "two hundred twenty million, seven hundred fifty-six thousand, four hundred eighty".