411823680 has 112 divisors (see below), whose sum is σ = 1339559424. Its totient is φ = 107130880.

The previous prime is 411823669. The next prime is 411823697. The reversal of 411823680 is 86328114.

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 15 ways as a sum of consecutive naturals, for example, 34129 + ... + 44591.

It is an arithmetic number, because the mean of its divisors is an integer number (11960352).

Almost surely, 2^411823680 is an apocalyptic number.

411823680 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 411823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669779712).

411823680 is an abundant number, since it is smaller than the sum of its proper divisors (927735744).

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

411823680 is a wasteful number, since it uses less digits than its factorization.

411823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 411823680 is about 20293.4393339325. The cubic root of 411823680 is about 743.9957220242.

The spelling of 411823680 in words is "four hundred eleven million, eight hundred twenty-three thousand, six hundred eighty".