406279168 has 44 divisors (see below), whose sum is σ = 832056372. Its totient is φ = 198164480.

The previous prime is 406279163. The next prime is 406279169. The reversal of 406279168 is 861972604.

It can be written as a sum of positive squares in 2 ways, for example, as 128323584 + 277955584 = 11328^2 + 16672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406279163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37146 + ... + 46822.

Almost surely, 2^406279168 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 406279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416028186).

406279168 is an abundant number, since it is smaller than the sum of its proper divisors (425777204).

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

406279168 is an equidigital number, since it uses as much as digits as its factorization.

406279168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 406279168 is about 20156.3679267868. The cubic root of 406279168 is about 740.6417418234.

The spelling of 406279168 in words is "four hundred six million, two hundred seventy-nine thousand, one hundred sixty-eight".