409065940 has 24 divisors (see below), whose sum is σ = 860970600. Its totient is φ = 163258368.

The previous prime is 409065919. The next prime is 409065959. The reversal of 409065940 is 49560904.

It can be written as a sum of positive squares in 4 ways, for example, as 102535876 + 306530064 = 10126^2 + 17508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409065940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13797 + ... + 31756.

It is an arithmetic number, because the mean of its divisors is an integer number (35873775).

Almost surely, 2^409065940 is an apocalyptic number.

It is an amenable number.

409065940 is an abundant number, since it is smaller than the sum of its proper divisors (451904660).

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

409065940 is a wasteful number, since it uses less digits than its factorization.

409065940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46011 (or 46009 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 409065940 is about 20225.3786120310. The cubic root of 409065940 is about 742.3313012576.

The spelling of 409065940 in words is "four hundred nine million, sixty-five thousand, nine hundred forty".