405532008 has 192 divisors, whose sum is σ = 1379064960. Its totient is φ = 108988416.

The previous prime is 405531961. The next prime is 405532051. The reversal of 405532008 is 800235504.

405532008 is a `hidden beast` number, since 405 + 53 + 200 + 8 = 666.

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

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, 230460 + ... + 232212.

It is an arithmetic number, because the mean of its divisors is an integer number (7182630).

Almost surely, 2^405532008 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 405532008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689532480).

405532008 is an abundant number, since it is smaller than the sum of its proper divisors (973532952).

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

405532008 is a wasteful number, since it uses less digits than its factorization.

405532008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 405532008 is about 20137.8253046351. The cubic root of 405532008 is about 740.1874421687.

It can be divided in two parts, 4055 and 32008, that added together give a palindrome (36063).

The spelling of 405532008 in words is "four hundred five million, five hundred thirty-two thousand, eight".