411313100 has 72 divisors (see below), whose sum is σ = 979104000. Its totient is φ = 148737600.

The previous prime is 411313087. The next prime is 411313109. The reversal of 411313100 is 1313114.

It is a super-2 number, since 2×411313100² = 338356932463220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (411313109) 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 23 ways as a sum of consecutive naturals, for example, 217961 + ... + 219839.

Almost surely, 2^411313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489552000).

411313100 is an abundant number, since it is smaller than the sum of its proper divisors (567790900).

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

411313100 is a wasteful number, since it uses less digits than its factorization.

411313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 411313100 is about 20280.8555046379. The cubic root of 411313100 is about 743.6881256344.

Adding to 411313100 its sum of digits (14), we get a palindrome (411313114).

Adding to 411313100 its reverse (1313114), we get a palindrome (412626214).

The spelling of 411313100 in words is "four hundred eleven million, three hundred thirteen thousand, one hundred".