405660042 has 32 divisors (see below), whose sum is σ = 911606400. Its totient is φ = 133699104.

The previous prime is 405659981. The next prime is 405660049. The reversal of 405660042 is 240066504.

It is a happy number.

405660042 is a `hidden beast` number, since 4 + 0 + 56 + 600 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 405659988 and 405660015.

It is not an unprimeable number, because it can be changed into a prime (405660049) 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 15 ways as a sum of consecutive naturals, for example, 37398 + ... + 47009.

It is an arithmetic number, because the mean of its divisors is an integer number (28487700).

Almost surely, 2^405660042 is an apocalyptic number.

405660042 is an abundant number, since it is smaller than the sum of its proper divisors (505946358).

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

405660042 is a wasteful number, since it uses less digits than its factorization.

405660042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84507 (or 84501 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 405660042 is about 20141.0039968220. The cubic root of 405660042 is about 740.2653309546.

The spelling of 405660042 in words is "four hundred five million, six hundred sixty thousand, forty-two".