411204840 has 192 divisors, whose sum is σ = 1388404800. Its totient is φ = 96823296.

The previous prime is 411204817. The next prime is 411204841. The reversal of 411204840 is 48402114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 411204840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411204841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3992229 + ... + 3992331.

It is an arithmetic number, because the mean of its divisors is an integer number (7231275).

Almost surely, 2^411204840 is an apocalyptic number.

411204840 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 411204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694202400).

411204840 is an abundant number, since it is smaller than the sum of its proper divisors (977199960).

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

411204840 is a wasteful number, since it uses less digits than its factorization.

411204840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 411204840 is about 20278.1863094311. The cubic root of 411204840 is about 743.6228722291.

Adding to 411204840 its reverse (48402114), we get a palindrome (459606954).

The spelling of 411204840 in words is "four hundred eleven million, two hundred four thousand, eight hundred forty".