411223680 has 576 divisors, whose sum is σ = 1741409280. Its totient is φ = 89026560.

The previous prime is 411223667. The next prime is 411223691. The reversal of 411223680 is 86322114.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8749417 + ... + 8749463.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^411223680 is an apocalyptic number.

411223680 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 411223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870704640).

411223680 is an abundant number, since it is smaller than the sum of its proper divisors (1330185600).

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

411223680 is a wasteful number, since it uses less digits than its factorization.

411223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 411223680 is about 20278.6508426966. The cubic root of 411223680 is about 743.6342288083.

Adding to 411223680 its reverse (86322114), we get a palindrome (497545794).

The spelling of 411223680 in words is "four hundred eleven million, two hundred twenty-three thousand, six hundred eighty".