406506606 has 64 divisors (see below), whose sum is σ = 912992256. Its totient is φ = 119599200.

The previous prime is 406506599. The next prime is 406506631. The reversal of 406506606 is 606605604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643911 + ... + 644541.

It is an arithmetic number, because the mean of its divisors is an integer number (14265504).

Almost surely, 2^406506606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406506606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456496128).

406506606 is an abundant number, since it is smaller than the sum of its proper divisors (506485650).

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

406506606 is a wasteful number, since it uses less digits than its factorization.

406506606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 406506606 is about 20162.0089772820. The cubic root of 406506606 is about 740.7799215664.

The spelling of 406506606 in words is "four hundred six million, five hundred six thousand, six hundred six".