406509672 has 16 divisors (see below), whose sum is σ = 1016274240. Its totient is φ = 135503216.

The previous prime is 406509643. The next prime is 406509679. The reversal of 406509672 is 276905604.

It is a super-2 number, since 2×406509672² = 330500226859095168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406509672.

It is not an unprimeable number, because it can be changed into a prime (406509679) 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 3 ways as a sum of consecutive naturals, for example, 8468928 + ... + 8468975.

It is an arithmetic number, because the mean of its divisors is an integer number (63517140).

Almost surely, 2^406509672 is an apocalyptic number.

It is an amenable number.

406509672 is an abundant number, since it is smaller than the sum of its proper divisors (609764568).

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

406509672 is a wasteful number, since it uses less digits than its factorization.

406509672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937912 (or 16937908 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 406509672 is about 20162.0850112284. The cubic root of 406509672 is about 740.7817839596.

The spelling of 406509672 in words is "four hundred six million, five hundred nine thousand, six hundred seventy-two".