411878112 has 96 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 130420224.

The previous prime is 411878111. The next prime is 411878147. The reversal of 411878112 is 211878114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411878111) 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 15 ways as a sum of consecutive naturals, for example, 368178 + ... + 369294.

It is an arithmetic number, because the mean of its divisors is an integer number (11832912).

Almost surely, 2^411878112 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 411878112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

411878112 is an abundant number, since it is smaller than the sum of its proper divisors (724081440).

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

411878112 is a wasteful number, since it uses less digits than its factorization.

411878112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its digits is 3584, while the sum is 33.

The square root of 411878112 is about 20294.7804127071. The cubic root of 411878112 is about 744.0284993130.

The spelling of 411878112 in words is "four hundred eleven million, eight hundred seventy-eight thousand, one hundred twelve".