220480840 has 64 divisors (see below), whose sum is σ = 509454000. Its totient is φ = 85847040.

The previous prime is 220480831. The next prime is 220480849. The reversal of 220480840 is 48084022.

220480840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220480831) and next prime (220480849).

It can be written as a sum of positive squares in 8 ways, for example, as 60559524 + 159921316 = 7782^2 + 12646^2 .

It is a super-2 number, since 2×220480840² = 97223601614211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220480799 and 220480808.

It is not an unprimeable number, because it can be changed into a prime (220480849) 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, 265546 + ... + 266374.

Almost surely, 2^220480840 is an apocalyptic number.

220480840 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 220480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254727000).

220480840 is an abundant number, since it is smaller than the sum of its proper divisors (288973160).

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

220480840 is a wasteful number, since it uses less digits than its factorization.

220480840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 220480840 is about 14848.5972401436. The cubic root of 220480840 is about 604.1205627496.

The spelling of 220480840 in words is "two hundred twenty million, four hundred eighty thousand, eight hundred forty".