406912168 has 32 divisors (see below), whose sum is σ = 825861960. Its totient is φ = 186842880.

The previous prime is 406912141. The next prime is 406912193. The reversal of 406912168 is 861219604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 275626404 + 131285764 = 16602^2 + 11458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10558 + ... + 30418.

Almost surely, 2^406912168 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 406912168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412930980).

406912168 is an abundant number, since it is smaller than the sum of its proper divisors (418949792).

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

406912168 is a wasteful number, since it uses less digits than its factorization.

406912168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20077 (or 20073 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 406912168 is about 20172.0640490754. The cubic root of 406912168 is about 741.0261925380.

The spelling of 406912168 in words is "four hundred six million, nine hundred twelve thousand, one hundred sixty-eight".