405379689 has 32 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 225476160.

The previous prime is 405379679. The next prime is 405379697. The reversal of 405379689 is 986973504.

It is not a de Polignac number, because 405379689 - 2⁵ = 405379657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405379609) 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 31 ways as a sum of consecutive naturals, for example, 74152 + ... + 79430.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400).

Almost surely, 2^405379689 is an apocalyptic number.

It is an amenable number.

405379689 is a deficient number, since it is larger than the sum of its proper divisors (233289111).

405379689 is a wasteful number, since it uses less digits than its factorization.

405379689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 405379689 is about 20134.0430366084. The cubic root of 405379689 is about 740.0947583793.

The spelling of 405379689 in words is "four hundred five million, three hundred seventy-nine thousand, six hundred eighty-nine".