415065168 has 160 divisors (see below), whose sum is σ = 1408838400. Its totient is φ = 114476544.

The previous prime is 415065151. The next prime is 415065179. The reversal of 415065168 is 861560514.

415065168 is a `hidden beast` number, since 41 + 506 + 51 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 85330 + ... + 90062.

It is an arithmetic number, because the mean of its divisors is an integer number (8805240).

Almost surely, 2^415065168 is an apocalyptic number.

415065168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415065168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704419200).

415065168 is an abundant number, since it is smaller than the sum of its proper divisors (993773232).

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

415065168 is a wasteful number, since it uses less digits than its factorization.

415065168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 415065168 is about 20373.1482103282. The cubic root of 415065168 is about 745.9426339556.

The spelling of 415065168 in words is "four hundred fifteen million, sixty-five thousand, one hundred sixty-eight".