414068160 has 224 divisors, whose sum is σ = 1451043072. Its totient is φ = 99205120.

The previous prime is 414068153. The next prime is 414068173. The reversal of 414068160 is 61860414.

It is a super-2 number, since 2×414068160² = 342904882251571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1193107 + ... + 1193453.

Almost surely, 2^414068160 is an apocalyptic number.

414068160 is a gapful number since it is divisible by the number (40) 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 414068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725521536).

414068160 is an abundant number, since it is smaller than the sum of its proper divisors (1036974912).

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

414068160 is a wasteful number, since it uses less digits than its factorization.

414068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 414068160 is about 20348.6648210638. The cubic root of 414068160 is about 745.3448908346.

The spelling of 414068160 in words is "four hundred fourteen million, sixty-eight thousand, one hundred sixty".