415063168 has 32 divisors (see below), whose sum is σ = 890493660. Its totient is φ = 191566848.

The previous prime is 415063147. The next prime is 415063183. The reversal of 415063168 is 861360514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 310041664 + 105021504 = 17608^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×415063168³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123055 + ... + 126382.

Almost surely, 2^415063168 is an apocalyptic number.

It is an amenable number.

415063168 is an abundant number, since it is smaller than the sum of its proper divisors (475430492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415063168 is a wasteful number, since it uses less digits than its factorization.

415063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249464 (or 249452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 415063168 is about 20373.0991260535. The cubic root of 415063168 is about 745.9414358404.

The spelling of 415063168 in words is "four hundred fifteen million, sixty-three thousand, one hundred sixty-eight".