409200966 has 12 divisors (see below), whose sum is σ = 886602132. Its totient is φ = 136400316.

The previous prime is 409200937. The next prime is 409200977. The reversal of 409200966 is 669002904.

It is a self number, because there is not a number n which added to its sum of digits gives 409200966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11366676 + ... + 11366711.

It is an arithmetic number, because the mean of its divisors is an integer number (73883511).

Almost surely, 2^409200966 is an apocalyptic number.

409200966 is an abundant number, since it is smaller than the sum of its proper divisors (477401166).

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

409200966 is a wasteful number, since it uses less digits than its factorization.

409200966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22733395 (or 22733392 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 409200966 is about 20228.7163705461. The cubic root of 409200966 is about 742.4129694272.

The spelling of 409200966 in words is "four hundred nine million, two hundred thousand, nine hundred sixty-six".