409625801 has 16 divisors (see below), whose sum is σ = 447820800. Its totient is φ = 372427200.

The previous prime is 409625773. The next prime is 409625819. The reversal of 409625801 is 108526904.

It is a cyclic number.

It is not a de Polignac number, because 409625801 - 2⁶ = 409625737 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409625831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 292100 + ... + 293498.

It is an arithmetic number, because the mean of its divisors is an integer number (27988800).

Almost surely, 2^409625801 is an apocalyptic number.

It is an amenable number.

409625801 is a deficient number, since it is larger than the sum of its proper divisors (38194999).

409625801 is a wasteful number, since it uses less digits than its factorization.

409625801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 409625801 is about 20239.2144363362. The cubic root of 409625801 is about 742.6698064925.

The spelling of 409625801 in words is "four hundred nine million, six hundred twenty-five thousand, eight hundred one".