1000409406 has 16 divisors (see below), whose sum is σ = 2001763200. Its totient is φ = 333312408.

The previous prime is 1000409363. The next prime is 1000409407. The reversal of 1000409406 is 6049040001.

1000409406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000409406² = 2001637959226545672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000409407) 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, 25186 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (125110200).

Almost surely, 2^1000409406 is an apocalyptic number.

1000409406 is an abundant number, since it is smaller than the sum of its proper divisors (1001353794).

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

1000409406 is a wasteful number, since it uses less digits than its factorization.

1000409406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78703.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1000409406 is about 31629.2492165084. The cubic root of 1000409406 is about 1000.1364500472.

Adding to 1000409406 its reverse (6049040001), we get a palindrome (7049449407).

The spelling of 1000409406 in words is "one billion, four hundred nine thousand, four hundred six".