405585942 has 16 divisors (see below), whose sum is σ = 824921280. Its totient is φ = 132903752.

The previous prime is 405585941. The next prime is 405585997. The reversal of 405585942 is 249585504.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 405585894 and 405585903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405585941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572508 + ... + 573215.

It is an arithmetic number, because the mean of its divisors is an integer number (51557580).

Almost surely, 2^405585942 is an apocalyptic number.

405585942 is an abundant number, since it is smaller than the sum of its proper divisors (419335338).

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

405585942 is a wasteful number, since it uses less digits than its factorization.

405585942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145787.

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 405585942 is about 20139.1643818705. The cubic root of 405585942 is about 740.2202546217.

The spelling of 405585942 in words is "four hundred five million, five hundred eighty-five thousand, nine hundred forty-two".