413544006 has 48 divisors (see below), whose sum is σ = 998665200. Its totient is φ = 122909184.

The previous prime is 413543993. The next prime is 413544017. The reversal of 413544006 is 600445314.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29751 + ... + 41378.

It is an arithmetic number, because the mean of its divisors is an integer number (20805525).

Almost surely, 2^413544006 is an apocalyptic number.

413544006 is an abundant number, since it is smaller than the sum of its proper divisors (585121194).

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

413544006 is a wasteful number, since it uses less digits than its factorization.

413544006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71173 (or 71170 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 413544006 is about 20335.7814209339. The cubic root of 413544006 is about 745.0302562671.

The spelling of 413544006 in words is "four hundred thirteen million, five hundred forty-four thousand, six".