411161200 has 60 divisors (see below), whose sum is σ = 991721248. Its totient is φ = 163814400.

The previous prime is 411161173. The next prime is 411161207. The reversal of 411161200 is 2161114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411161207) 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 11 ways as a sum of consecutive naturals, for example, 106504 + ... + 110296.

Almost surely, 2^411161200 is an apocalyptic number.

411161200 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 411161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495860624).

411161200 is an abundant number, since it is smaller than the sum of its proper divisors (580560048).

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

411161200 is a wasteful number, since it uses less digits than its factorization.

411161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 411161200 is about 20277.1102477646. The cubic root of 411161200 is about 743.5965651051.

The spelling of 411161200 in words is "four hundred eleven million, one hundred sixty-one thousand, two hundred".