406944006 has 32 divisors (see below), whose sum is σ = 960165888. Its totient is φ = 112518720.

The previous prime is 406943923. The next prime is 406944029. The reversal of 406944006 is 600449604.

It is a super-3 number, since 3×406944006³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154975 + ... + 157578.

It is an arithmetic number, because the mean of its divisors is an integer number (30005184).

Almost surely, 2^406944006 is an apocalyptic number.

406944006 is an abundant number, since it is smaller than the sum of its proper divisors (553221882).

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

406944006 is a wasteful number, since it uses less digits than its factorization.

406944006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312596.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 406944006 is about 20172.8531943302. The cubic root of 406944006 is about 741.0455187206.

The spelling of 406944006 in words is "four hundred six million, nine hundred forty-four thousand, six".