405359605 has 48 divisors (see below), whose sum is σ = 588406896. Its totient is φ = 267079680.

The previous prime is 405359569. The next prime is 405359621. The reversal of 405359605 is 506953504.

It can be written as a sum of positive squares in 8 ways, for example, as 625681 + 404733924 = 791^2 + 20118^2 .

It is not a de Polignac number, because 405359605 - 2¹⁷ = 405228533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879075 + ... + 879535.

It is an arithmetic number, because the mean of its divisors is an integer number (12258477).

Almost surely, 2^405359605 is an apocalyptic number.

It is an amenable number.

405359605 is a deficient number, since it is larger than the sum of its proper divisors (183047291).

405359605 is a wasteful number, since it uses less digits than its factorization.

405359605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 405359605 is about 20133.5442731775. The cubic root of 405359605 is about 740.0825358391.

The spelling of 405359605 in words is "four hundred five million, three hundred fifty-nine thousand, six hundred five".