411106080 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 85048320.

The previous prime is 411106043. The next prime is 411106081. The reversal of 411106080 is 80601114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411106081) 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 63 ways as a sum of consecutive naturals, for example, 1810927 + ... + 1811153.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^411106080 is an apocalyptic number.

411106080 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 411106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

411106080 is an abundant number, since it is smaller than the sum of its proper divisors (1243626720).

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

411106080 is a wasteful number, since it uses less digits than its factorization.

411106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 411106080 is about 20275.7510341787. The cubic root of 411106080 is about 743.5633349313.

Adding to 411106080 its reverse (80601114), we get a palindrome (491707194).

It can be divided in two parts, 411 and 106080, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 411106080 in words is "four hundred eleven million, one hundred six thousand, eighty".