409405050 has 96 divisors (see below), whose sum is σ = 1194566400. Its totient is φ = 102746880.

The previous prime is 409405039. The next prime is 409405057. The reversal of 409405050 is 50504904.

It is a super-2 number, since 2×409405050² = 335224989931005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (409405057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14031 + ... + 31869.

It is an arithmetic number, because the mean of its divisors is an integer number (12443400).

Almost surely, 2^409405050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409405050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597283200).

409405050 is an abundant number, since it is smaller than the sum of its proper divisors (785161350).

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

409405050 is a wasteful number, since it uses less digits than its factorization.

409405050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17877 (or 17866 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 409405050 is about 20233.7601547513. The cubic root of 409405050 is about 742.5363720577.

Adding to 409405050 its reverse (50504904), we get a palindrome (459909954).

The spelling of 409405050 in words is "four hundred nine million, four hundred five thousand, fifty".