411144080 has 20 divisors (see below), whose sum is σ = 955910172. Its totient is φ = 164457600.

The previous prime is 411144073. The next prime is 411144089. The reversal of 411144080 is 80441114.

It can be written as a sum of positive squares in 2 ways, for example, as 156550144 + 254593936 = 12512^2 + 15956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (411144089) 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 3 ways as a sum of consecutive naturals, for example, 2569571 + ... + 2569730.

Almost surely, 2^411144080 is an apocalyptic number.

411144080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411144080 is an abundant number, since it is smaller than the sum of its proper divisors (544766092).

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

411144080 is a wasteful number, since it uses less digits than its factorization.

411144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139314 (or 5139308 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 411144080 is about 20276.6880924869. The cubic root of 411144080 is about 743.5862442950.

Adding to 411144080 its reverse (80441114), we get a palindrome (491585194).

The spelling of 411144080 in words is "four hundred eleven million, one hundred forty-four thousand, eighty".