405508968 has 96 divisors (see below), whose sum is σ = 1126594560. Its totient is φ = 131725440.

The previous prime is 405508967. The next prime is 405508979. The reversal of 405508968 is 869805504.

405508968 is a `hidden beast` number, since 4 + 0 + 550 + 8 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (405508967) 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 23 ways as a sum of consecutive naturals, for example, 557421 + ... + 558147.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2^405508968 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 405508968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563297280).

405508968 is an abundant number, since it is smaller than the sum of its proper divisors (721085592).

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

405508968 is a wasteful number, since it uses less digits than its factorization.

405508968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 405508968 is about 20137.2532387116. The cubic root of 405508968 is about 740.1734241698.

The spelling of 405508968 in words is "four hundred five million, five hundred eight thousand, nine hundred sixty-eight".