409014801 has 24 divisors (see below), whose sum is σ = 638951040. Its totient is φ = 250631136.

The previous prime is 409014797. The next prime is 409014817. The reversal of 409014801 is 108410904.

It is not a de Polignac number, because 409014801 - 2² = 409014797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409014841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20650 + ... + 35276.

It is an arithmetic number, because the mean of its divisors is an integer number (26622960).

Almost surely, 2^409014801 is an apocalyptic number.

It is an amenable number.

409014801 is a deficient number, since it is larger than the sum of its proper divisors (229936239).

409014801 is a wasteful number, since it uses less digits than its factorization.

409014801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 409014801 is about 20224.1143440201. The cubic root of 409014801 is about 742.3003660148.

The spelling of 409014801 in words is "four hundred nine million, fourteen thousand, eight hundred one".