404201 has 12 divisors (see below), whose sum is σ = 480852. Its totient is φ = 338688.

The previous prime is 404197. The next prime is 404213. The reversal of 404201 is 102404.

It can be written as a sum of positive squares in 2 ways, for example, as 90601 + 313600 = 301^2 + 560^2 .

It is not a de Polignac number, because 404201 - 2² = 404197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3521 + ... + 3633.

It is an arithmetic number, because the mean of its divisors is an integer number (40071).

2⁴⁰⁴²⁰¹ is an apocalyptic number.

It is an amenable number.

404201 is a deficient number, since it is larger than the sum of its proper divisors (76651).

404201 is a wasteful number, since it uses less digits than its factorization.

404201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 404201 is about 635.7680394609. The cubic root of 404201 is about 73.9376757929.

Adding to 404201 its reverse (102404), we get a palindrome (506605).

The spelling of 404201 in words is "four hundred four thousand, two hundred one", and thus it is an iban number.