405985923 has 36 divisors (see below), whose sum is σ = 691566408. Its totient is φ = 228795840.

The previous prime is 405985873. The next prime is 405985961. The reversal of 405985923 is 329589504.

405985923 is a `hidden beast` number, since 4 + 0 + 59 + 8 + 592 + 3 = 666.

It is not a de Polignac number, because 405985923 - 2¹⁰ = 405984899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405985523) 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 35 ways as a sum of consecutive naturals, for example, 25888 + ... + 38498.

It is an arithmetic number, because the mean of its divisors is an integer number (19210178).

Almost surely, 2^405985923 is an apocalyptic number.

405985923 is a deficient number, since it is larger than the sum of its proper divisors (285580485).

405985923 is a wasteful number, since it uses less digits than its factorization.

405985923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 405985923 is about 20149.0923616921. The cubic root of 405985923 is about 740.4635049687.

The spelling of 405985923 in words is "four hundred five million, nine hundred eighty-five thousand, nine hundred twenty-three".