409966000 has 40 divisors (see below), whose sum is σ = 991302624. Its totient is φ = 163985600.

The previous prime is 409965991. The next prime is 409966003. The reversal of 409966000 is 669904.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (409966003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100492 + ... + 104491.

Almost surely, 2^409966000 is an apocalyptic number.

409966000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409966000 is an abundant number, since it is smaller than the sum of its proper divisors (581336624).

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

409966000 is a wasteful number, since it uses less digits than its factorization.

409966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205006 (or 204990 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 409966000 is about 20247.6171437530. The cubic root of 409966000 is about 742.8753482436.

The spelling of 409966000 in words is "four hundred nine million, nine hundred sixty-six thousand".