414160192 has 56 divisors (see below), whose sum is σ = 836456544. Its totient is φ = 203438592.

The previous prime is 414160189. The next prime is 414160199. The reversal of 414160192 is 291061414.

It is a self number, because there is not a number n which added to its sum of digits gives 414160192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414160199) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1348903 + ... + 1349209.

It is an arithmetic number, because the mean of its divisors is an integer number (14936724).

Almost surely, 2^414160192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418228272).

414160192 is an abundant number, since it is smaller than the sum of its proper divisors (422296352).

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

414160192 is a wasteful number, since it uses less digits than its factorization.

414160192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 414160192 is about 20350.9260722946. The cubic root of 414160192 is about 745.4001075889.

The spelling of 414160192 in words is "four hundred fourteen million, one hundred sixty thousand, one hundred ninety-two".