411124480 has 144 divisors (see below), whose sum is σ = 1096107264. Its totient is φ = 146718720.

The previous prime is 411124477. The next prime is 411124487. The reversal of 411124480 is 84421114.

It is not an unprimeable number, because it can be changed into a prime (411124487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515442 + ... + 516238.

It is an arithmetic number, because the mean of its divisors is an integer number (7611856).

Almost surely, 2^411124480 is an apocalyptic number.

411124480 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 411124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548053632).

411124480 is an abundant number, since it is smaller than the sum of its proper divisors (684982784).

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

411124480 is a wasteful number, since it uses less digits than its factorization.

411124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 411124480 is about 20276.2047730832. The cubic root of 411124480 is about 743.5744280627.

Adding to 411124480 its reverse (84421114), we get a palindrome (495545594).

The spelling of 411124480 in words is "four hundred eleven million, one hundred twenty-four thousand, four hundred eighty".