406408040 has 32 divisors (see below), whose sum is σ = 915074280. Its totient is φ = 162446592.

The previous prime is 406408021. The next prime is 406408049. The reversal of 406408040 is 40804604.

It can be written as a sum of positive squares in 4 ways, for example, as 295358596 + 111049444 = 17186^2 + 10538^2 .

It is not an unprimeable number, because it can be changed into a prime (406408049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72374 + ... + 77786.

Almost surely, 2^406408040 is an apocalyptic number.

406408040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406408040 is an abundant number, since it is smaller than the sum of its proper divisors (508666240).

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

406408040 is a wasteful number, since it uses less digits than its factorization.

406408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 406408040 is about 20159.5644794227. The cubic root of 406408040 is about 740.7200442156.

The spelling of 406408040 in words is "four hundred six million, four hundred eight thousand, forty".