413403201 has 24 divisors (see below), whose sum is σ = 605393256. Its totient is φ = 271814400.

The previous prime is 413403191. The next prime is 413403217. The reversal of 413403201 is 102304314.

413403201 is a `hidden beast` number, since 4 + 1 + 340 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150185025 + 263218176 = 12255^2 + 16224^2 .

It is not a de Polignac number, because 413403201 - 2¹⁴ = 413386817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413403301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283791 + ... + 285243.

It is an arithmetic number, because the mean of its divisors is an integer number (25224719).

Almost surely, 2^413403201 is an apocalyptic number.

It is an amenable number.

413403201 is a deficient number, since it is larger than the sum of its proper divisors (191990055).

413403201 is a wasteful number, since it uses less digits than its factorization.

413403201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413403201 is about 20332.3191249793. The cubic root of 413403201 is about 744.9456897784.

Adding to 413403201 its reverse (102304314), we get a palindrome (515707515).

The spelling of 413403201 in words is "four hundred thirteen million, four hundred three thousand, two hundred one".