411471360 has 160 divisors (see below), whose sum is σ = 1461826080. Its totient is φ = 109707264.

The previous prime is 411471337. The next prime is 411471371. The reversal of 411471360 is 63174114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66144 + ... + 72096.

It is an arithmetic number, because the mean of its divisors is an integer number (9136413).

Almost surely, 2^411471360 is an apocalyptic number.

411471360 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 411471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730913040).

411471360 is an abundant number, since it is smaller than the sum of its proper divisors (1050354720).

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

411471360 is an equidigital number, since it uses as much as digits as its factorization.

411471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 411471360 is about 20284.7568385722. The cubic root of 411471360 is about 743.7834957963.

The spelling of 411471360 in words is "four hundred eleven million, four hundred seventy-one thousand, three hundred sixty".