407201 has 6 divisors (see below), whose sum is σ = 432870. Its totient is φ = 382976.

The previous prime is 407191. The next prime is 407203. The reversal of 407201 is 102704.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48400 + 358801 = 220^2 + 599^2 .

It is not a de Polignac number, because 407201 - 2⁶ = 407137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 416 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (72145).

2⁴⁰⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

407201 is a deficient number, since it is larger than the sum of its proper divisors (25669).

407201 is a wasteful number, since it uses less digits than its factorization.

407201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 407201 is about 638.1230288902. The cubic root of 407201 is about 74.1201481354.

Adding to 407201 its reverse (102704), we get a palindrome (509905).

The spelling of 407201 in words is "four hundred seven thousand, two hundred one", and thus it is an iban number.