415404201 has 16 divisors (see below), whose sum is σ = 584375040. Its totient is φ = 261752400.

The previous prime is 415404193. The next prime is 415404211. The reversal of 415404201 is 102404514.

It is a happy number.

It is not a de Polignac number, because 415404201 - 2³ = 415404193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415404211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17026 + ... + 33476.

It is an arithmetic number, because the mean of its divisors is an integer number (36523440).

Almost surely, 2^415404201 is an apocalyptic number.

It is an amenable number.

415404201 is a deficient number, since it is larger than the sum of its proper divisors (168970839).

415404201 is a wasteful number, since it uses less digits than its factorization.

415404201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16916.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 415404201 is about 20381.4670963599. The cubic root of 415404201 is about 746.1456786516.

Adding to 415404201 its reverse (102404514), we get a palindrome (517808715).

The spelling of 415404201 in words is "four hundred fifteen million, four hundred four thousand, two hundred one".