415242567 has 12 divisors (see below), whose sum is σ = 601266640. Its totient is φ = 276149088.

The previous prime is 415242563. The next prime is 415242571. The reversal of 415242567 is 765242514.

It is a happy number.

415242567 is a `hidden beast` number, since 4 + 1 + 52 + 42 + 567 = 666.

It is an interprime number because it is at equal distance from previous prime (415242563) and next prime (415242571).

It is not a de Polignac number, because 415242567 - 2² = 415242563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415242563) 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 11 ways as a sum of consecutive naturals, for example, 52723 + ... + 60084.

Almost surely, 2^415242567 is an apocalyptic number.

415242567 is a deficient number, since it is larger than the sum of its proper divisors (186024073).

415242567 is a wasteful number, since it uses less digits than its factorization.

415242567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113222 (or 113219 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 415242567 is about 20377.5014906146. The cubic root of 415242567 is about 746.0488908677.

The spelling of 415242567 in words is "four hundred fifteen million, two hundred forty-two thousand, five hundred sixty-seven".