411241600 has 192 divisors, whose sum is σ = 1267329600. Its totient is φ = 128102400.

The previous prime is 411241549. The next prime is 411241609. The reversal of 411241600 is 6142114.

It is not an unprimeable number, because it can be changed into a prime (411241609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245566 + ... + 247234.

It is an arithmetic number, because the mean of its divisors is an integer number (6600675).

Almost surely, 2^411241600 is an apocalyptic number.

411241600 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 411241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633664800).

411241600 is an abundant number, since it is smaller than the sum of its proper divisors (856088000).

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

411241600 is a wasteful number, since it uses less digits than its factorization.

411241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 411241600 is about 20279.0926818731. The cubic root of 411241600 is about 743.6450304980.

Adding to 411241600 its reverse (6142114), we get a palindrome (417383714).

It can be divided in two parts, 41124 and 1600, that added together give a palindrome (42724).

The spelling of 411241600 in words is "four hundred eleven million, two hundred forty-one thousand, six hundred".