409441960 has 32 divisors (see below), whose sum is σ = 938631240. Its totient is φ = 160685824.

The previous prime is 409441939. The next prime is 409441961. The reversal of 409441960 is 69144904.

It can be written as a sum of positive squares in 4 ways, for example, as 238826116 + 170615844 = 15454^2 + 13062^2 .

It is not an unprimeable number, because it can be changed into a prime (409441961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94447 + ... + 98686.

Almost surely, 2^409441960 is an apocalyptic number.

409441960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409441960 is an abundant number, since it is smaller than the sum of its proper divisors (529189280).

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

409441960 is a wasteful number, since it uses less digits than its factorization.

409441960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193197 (or 193193 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 409441960 is about 20234.6722236858. The cubic root of 409441960 is about 742.5586858957.

The spelling of 409441960 in words is "four hundred nine million, four hundred forty-one thousand, nine hundred sixty".