220410320 has 40 divisors (see below), whose sum is σ = 551876136. Its totient is φ = 81381888.

The previous prime is 220410299. The next prime is 220410331. The reversal of 220410320 is 23014022.

It can be written as a sum of positive squares in 4 ways, for example, as 24522304 + 195888016 = 4952^2 + 13996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 220410295 and 220410304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104927 + ... + 107006.

Almost surely, 2^220410320 is an apocalyptic number.

220410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220410320 is an abundant number, since it is smaller than the sum of its proper divisors (331465816).

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

220410320 is a wasteful number, since it uses less digits than its factorization.

220410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211959 (or 211953 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220410320 is about 14846.2224151466. Note that the first 3 decimals coincide. The cubic root of 220410320 is about 604.0561472884.

Adding to 220410320 its reverse (23014022), we get a palindrome (243424342).

The spelling of 220410320 in words is "two hundred twenty million, four hundred ten thousand, three hundred twenty".