406367312 has 80 divisors (see below), whose sum is σ = 891692928. Its totient is φ = 177999360.

The previous prime is 406367249. The next prime is 406367317. The reversal of 406367312 is 213763604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406367317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827387 + ... + 827877.

Almost surely, 2^406367312 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 406367312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445846464).

406367312 is an abundant number, since it is smaller than the sum of its proper divisors (485325616).

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

406367312 is a wasteful number, since it uses less digits than its factorization.

406367312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 406367312 is about 20158.5543132438. The cubic root of 406367312 is about 740.6952997463.

The spelling of 406367312 in words is "four hundred six million, three hundred sixty-seven thousand, three hundred twelve".