415004201 has 8 divisors (see below), whose sum is σ = 422245824. Its totient is φ = 407824560.

The previous prime is 415004189. The next prime is 415004207. The reversal of 415004201 is 102400514.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415004201 - 2¹⁴ = 414987817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415004201.

It is not an unprimeable number, because it can be changed into a prime (415004207) 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, 1886 + ... + 28871.

It is an arithmetic number, because the mean of its divisors is an integer number (52780728).

Almost surely, 2^415004201 is an apocalyptic number.

It is an amenable number.

415004201 is a deficient number, since it is larger than the sum of its proper divisors (7241623).

415004201 is a wasteful number, since it uses less digits than its factorization.

415004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30991.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 415004201 is about 20371.6518966921. The cubic root of 415004201 is about 745.9061094811.

Adding to 415004201 its reverse (102400514), we get a palindrome (517404715).

The spelling of 415004201 in words is "four hundred fifteen million, four thousand, two hundred one".