406003312 has 80 divisors (see below), whose sum is σ = 939627360. Its totient is φ = 167500800.

The previous prime is 406003289. The next prime is 406003319. The reversal of 406003312 is 213300604.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 406003312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406003319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138114 + ... + 141022.

It is an arithmetic number, because the mean of its divisors is an integer number (11745342).

Almost surely, 2^406003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469813680).

406003312 is an abundant number, since it is smaller than the sum of its proper divisors (533624048).

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

406003312 is a wasteful number, since it uses less digits than its factorization.

406003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 406003312 is about 20149.5238653423. The cubic root of 406003312 is about 740.4740765471.

Adding to 406003312 its reverse (213300604), we get a palindrome (619303916).

The spelling of 406003312 in words is "four hundred six million, three thousand, three hundred twelve".