413353201 has 16 divisors (see below), whose sum is σ = 429235200. Its totient is φ = 397844928.

The previous prime is 413353183. The next prime is 413353207. The reversal of 413353201 is 102353314.

It is a cyclic number.

It is not a de Polignac number, because 413353201 - 2²¹ = 411256049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413353207) 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, 1126120 + ... + 1126486.

It is an arithmetic number, because the mean of its divisors is an integer number (26827200).

Almost surely, 2^413353201 is an apocalyptic number.

It is an amenable number.

413353201 is a deficient number, since it is larger than the sum of its proper divisors (15881999).

413353201 is a wasteful number, since it uses less digits than its factorization.

413353201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 413353201 is about 20331.0895182723. The cubic root of 413353201 is about 744.9156555115.

The spelling of 413353201 in words is "four hundred thirteen million, three hundred fifty-three thousand, two hundred one".