406011008 has 72 divisors (see below), whose sum is σ = 882295155. Its totient is φ = 186021888.

The previous prime is 406011007. The next prime is 406011029. The reversal of 406011008 is 800110604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 87459904 + 318551104 = 9352^2 + 17848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14248.

It is a super-3 number, since 3×406011008³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406011007) 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 8 ways as a sum of consecutive naturals, for example, 2963516 + ... + 2963652.

Almost surely, 2^406011008 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 406011008

406011008 is an abundant number, since it is smaller than the sum of its proper divisors (476284147).

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

406011008 is an equidigital number, since it uses as much as digits as its factorization.

406011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 406011008 is about 20149.7148366919. The cubic root of 406011008 is about 740.4787552056.

The spelling of 406011008 in words is "four hundred six million, eleven thousand, eight".