416535201 has 6 divisors (see below), whose sum is σ = 601661970. Its totient is φ = 277690128.

The previous prime is 416535191. The next prime is 416535227. The reversal of 416535201 is 102535614.

416535201 is a `hidden beast` number, since 4 + 1 + 653 + 5 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361760400 + 54774801 = 19020^2 + 7401^2 .

It is not a de Polignac number, because 416535201 - 2⁶ = 416535137 is a prime.

It is a super-2 number, since 2×416535201² = 347003147344220802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416535901) 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, 23140836 + ... + 23140853.

It is an arithmetic number, because the mean of its divisors is an integer number (100276995).

Almost surely, 2^416535201 is an apocalyptic number.

It is an amenable number.

416535201 is a deficient number, since it is larger than the sum of its proper divisors (185126769).

416535201 is a wasteful number, since it uses less digits than its factorization.

416535201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46281695 (or 46281692 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 416535201 is about 20409.1940311223. The cubic root of 416535201 is about 746.8222293814.

The spelling of 416535201 in words is "four hundred sixteen million, five hundred thirty-five thousand, two hundred one".