409200968 has 16 divisors (see below), whose sum is σ = 837002160. Its totient is φ = 186000400.

The previous prime is 409200937. The next prime is 409200977. The reversal of 409200968 is 869002904.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2324918 + ... + 2325093.

It is an arithmetic number, because the mean of its divisors is an integer number (52312635).

Almost surely, 2^409200968 is an apocalyptic number.

It is an amenable number.

409200968 is an abundant number, since it is smaller than the sum of its proper divisors (427801192).

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

409200968 is a wasteful number, since it uses less digits than its factorization.

409200968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650028 (or 4650024 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 409200968 is about 20228.7164199808. The cubic root of 409200968 is about 742.4129706368.

The spelling of 409200968 in words is "four hundred nine million, two hundred thousand, nine hundred sixty-eight".