405444006 has 48 divisors (see below), whose sum is σ = 959662080. Its totient is φ = 122690160.

The previous prime is 405443989. The next prime is 405444077. The reversal of 405444006 is 600444504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281035 + ... + 282473.

It is an arithmetic number, because the mean of its divisors is an integer number (19992960).

Almost surely, 2^405444006 is an apocalyptic number.

405444006 is an abundant number, since it is smaller than the sum of its proper divisors (554218074).

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

405444006 is a wasteful number, since it uses less digits than its factorization.

405444006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 405444006 is about 20135.6401934480. The cubic root of 405444006 is about 740.1338971247.

The spelling of 405444006 in words is "four hundred five million, four hundred forty-four thousand, six".