410205220 has 24 divisors (see below), whose sum is σ = 865812024. Its totient is φ = 163247616.

The previous prime is 410205217. The next prime is 410205227. The reversal of 410205220 is 22502014.

It can be written as a sum of positive squares in 4 ways, for example, as 85340644 + 324864576 = 9238^2 + 18024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410205194 and 410205203.

It is not an unprimeable number, because it can be changed into a prime (410205227) 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 7 ways as a sum of consecutive naturals, for example, 48117 + ... + 55996.

It is an arithmetic number, because the mean of its divisors is an integer number (36075501).

Almost surely, 2^410205220 is an apocalyptic number.

It is an amenable number.

410205220 is an abundant number, since it is smaller than the sum of its proper divisors (455606804).

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

410205220 is a wasteful number, since it uses less digits than its factorization.

410205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104319 (or 104317 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 410205220 is about 20253.5236440477. The cubic root of 410205220 is about 743.0198123265.

Adding to 410205220 its reverse (22502014), we get a palindrome (432707234).

The spelling of 410205220 in words is "four hundred ten million, two hundred five thousand, two hundred twenty".