415442241 has 18 divisors (see below), whose sum is σ = 603845190. Its totient is φ = 275235840.

The previous prime is 415442233. The next prime is 415442257. The reversal of 415442241 is 142244514.

415442241 is a `hidden beast` number, since 415 + 4 + 4 + 2 + 241 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 141705216 + 273737025 = 11904^2 + 16545^2 .

It is not a de Polignac number, because 415442241 - 2³ = 415442233 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (415442641) 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 17 ways as a sum of consecutive naturals, for example, 294145 + ... + 295553.

It is an arithmetic number, because the mean of its divisors is an integer number (33546955).

Almost surely, 2^415442241 is an apocalyptic number.

It is an amenable number.

415442241 is a deficient number, since it is larger than the sum of its proper divisors (188402949).

415442241 is a wasteful number, since it uses less digits than its factorization.

415442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1593 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 415442241 is about 20382.4002757281. The cubic root of 415442241 is about 746.1684536703.

Adding to 415442241 its reverse (142244514), we get a palindrome (557686755).

The spelling of 415442241 in words is "four hundred fifteen million, four hundred forty-two thousand, two hundred forty-one".