411004100 has 72 divisors (see below), whose sum is σ = 964078920. Its totient is φ = 151188480.

The previous prime is 411004091. The next prime is 411004109. The reversal of 411004100 is 1400114.

It is an interprime number because it is at equal distance from previous prime (411004091) and next prime (411004109).

It can be written as a sum of positive squares in 12 ways, for example, as 191490244 + 219513856 = 13838^2 + 14816^2 .

It is not an unprimeable number, because it can be changed into a prime (411004109) 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, 531314 + ... + 532086.

It is an arithmetic number, because the mean of its divisors is an integer number (13389985).

Almost surely, 2^411004100 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 411004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482039460).

411004100 is an abundant number, since it is smaller than the sum of its proper divisors (553074820).

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

411004100 is a wasteful number, since it uses less digits than its factorization.

411004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 411004100 is about 20273.2360515040. The cubic root of 411004100 is about 743.5018464546.

Adding to 411004100 its reverse (1400114), we get a palindrome (412404214).

The spelling of 411004100 in words is "four hundred eleven million, four thousand, one hundred".