405506112 has 112 divisors (see below), whose sum is σ = 1182648384. Its totient is φ = 121600000.

The previous prime is 405506111. The next prime is 405506137. The reversal of 405506112 is 211605504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (405506111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212362 + ... + 214262.

Almost surely, 2^405506112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591324192).

405506112 is an abundant number, since it is smaller than the sum of its proper divisors (777142272).

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

405506112 is a wasteful number, since it uses less digits than its factorization.

405506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 405506112 is about 20137.1823252410. The cubic root of 405506112 is about 740.1716864851.

The spelling of 405506112 in words is "four hundred five million, five hundred six thousand, one hundred twelve".