411200010 has 128 divisors (see below), whose sum is σ = 1188956160. Its totient is φ = 100528128.

The previous prime is 411199991. The next prime is 411200047. The reversal of 411200010 is 10002114.

It is a happy number.

It is a super-4 number, since 4×411200010⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 411199965 and 411200001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677127 + ... + 677733.

It is an arithmetic number, because the mean of its divisors is an integer number (9288720).

Almost surely, 2^411200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594478080).

411200010 is an abundant number, since it is smaller than the sum of its proper divisors (777756150).

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

411200010 is a wasteful number, since it uses less digits than its factorization.

411200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 411200010 is about 20278.0672155903. The cubic root of 411200010 is about 743.6199606936.

Adding to 411200010 its reverse (10002114), we get a palindrome (421202124).

The spelling of 411200010 in words is "four hundred eleven million, two hundred thousand, ten".