416013201 has 6 divisors (see below), whose sum is σ = 600907970. Its totient is φ = 277342128.

The previous prime is 416013197. The next prime is 416013209. The reversal of 416013201 is 102310614.

It is a happy number.

416013201 is a `hidden beast` number, since 41 + 601 + 3 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 270569601 + 145443600 = 16449^2 + 12060^2 .

It is not a de Polignac number, because 416013201 - 2² = 416013197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416013209) 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, 23111836 + ... + 23111853.

Almost surely, 2^416013201 is an apocalyptic number.

It is an amenable number.

416013201 is a deficient number, since it is larger than the sum of its proper divisors (184894769).

416013201 is a wasteful number, since it uses less digits than its factorization.

416013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46223695 (or 46223692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 416013201 is about 20396.4016679413. The cubic root of 416013201 is about 746.5101275748.

Adding to 416013201 its reverse (102310614), we get a palindrome (518323815).

The spelling of 416013201 in words is "four hundred sixteen million, thirteen thousand, two hundred one".