406378609 has 24 divisors (see below), whose sum is σ = 510413568. Its totient is φ = 320695200.

The previous prime is 406378571. The next prime is 406378627. The reversal of 406378609 is 906873604.

It is a happy number.

It is not a de Polignac number, because 406378609 - 2⁹ = 406378097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406378639) 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 23 ways as a sum of consecutive naturals, for example, 386134 + ... + 387184.

It is an arithmetic number, because the mean of its divisors is an integer number (21267232).

Almost surely, 2^406378609 is an apocalyptic number.

406378609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

406378609 is a deficient number, since it is larger than the sum of its proper divisors (104034959).

406378609 is a wasteful number, since it uses less digits than its factorization.

406378609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 406378609 is about 20158.8345149217. The cubic root of 406378609 is about 740.7021634523.

The spelling of 406378609 in words is "four hundred six million, three hundred seventy-eight thousand, six hundred nine".