406065312 has 120 divisors (see below), whose sum is σ = 1223674452. Its totient is φ = 132019200.

The previous prime is 406065301. The next prime is 406065313. The reversal of 406065312 is 213560604.

406065312 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 653 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404975376 + 1089936 = 20124^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (406065313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104362 + ... + 108182.

Almost surely, 2^406065312 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 406065312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611837226).

406065312 is an abundant number, since it is smaller than the sum of its proper divisors (817609140).

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

406065312 is a wasteful number, since it uses less digits than its factorization.

406065312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 406065312 is about 20151.0623045039. The cubic root of 406065312 is about 740.5117667619.

The spelling of 406065312 in words is "four hundred six million, sixty-five thousand, three hundred twelve".