411612006 has 48 divisors (see below), whose sum is σ = 901633680. Its totient is φ = 125199360.

The previous prime is 411611989. The next prime is 411612037. The reversal of 411612006 is 600216114.

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, 87966 + ... + 92526.

It is an arithmetic number, because the mean of its divisors is an integer number (18784035).

Almost surely, 2^411612006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411612006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450816840).

411612006 is an abundant number, since it is smaller than the sum of its proper divisors (490021674).

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

411612006 is a wasteful number, since it uses less digits than its factorization.

411612006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 411612006 is about 20288.2233327613. The cubic root of 411612006 is about 743.8682309418.

The spelling of 411612006 in words is "four hundred eleven million, six hundred twelve thousand, six".