1000406321 has 8 divisors (see below), whose sum is σ = 1048588800. Its totient is φ = 952614432.

The previous prime is 1000406287. The next prime is 1000406339. The reversal of 1000406321 is 1236040001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000406321 - 2¹⁴ = 1000389937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000406321.

It is not an unprimeable number, because it can be changed into a prime (1000406371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92396 + ... + 102653.

It is an arithmetic number, because the mean of its divisors is an integer number (131073600).

Almost surely, 2^1000406321 is an apocalyptic number.

It is an amenable number.

1000406321 is a deficient number, since it is larger than the sum of its proper divisors (48182479).

1000406321 is a wasteful number, since it uses less digits than its factorization.

1000406321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195295.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1000406321 is about 31629.2004483199. The cubic root of 1000406321 is about 1000.1354219934.

Adding to 1000406321 its reverse (1236040001), we get a palindrome (2236446322).

The spelling of 1000406321 in words is "one billion, four hundred six thousand, three hundred twenty-one".