409642020 has 72 divisors (see below), whose sum is σ = 1261163904. Its totient is φ = 107604288.

The previous prime is 409642019. The next prime is 409642031. The reversal of 409642020 is 20246904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924 + ... + 29043.

Almost surely, 2^409642020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409642020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630581952).

409642020 is an abundant number, since it is smaller than the sum of its proper divisors (851521884).

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

409642020 is a wasteful number, since it uses less digits than its factorization.

409642020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34049 (or 34044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 409642020 is about 20239.6151149176. The cubic root of 409642020 is about 742.6796082861.

Adding to 409642020 its reverse (20246904), we get a palindrome (429888924).

The spelling of 409642020 in words is "four hundred nine million, six hundred forty-two thousand, twenty".