411671760 has 80 divisors (see below), whose sum is σ = 1279203840. Its totient is φ = 109519360.

The previous prime is 411671759. The next prime is 411671773. The reversal of 411671760 is 67176114.

It is a tau number, because it is divible by the number of its divisors (80).

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, 113170 + ... + 116750.

It is an arithmetic number, because the mean of its divisors is an integer number (15990048).

Almost surely, 2^411671760 is an apocalyptic number.

411671760 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 411671760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639601920).

411671760 is an abundant number, since it is smaller than the sum of its proper divisors (867532080).

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

411671760 is a wasteful number, since it uses less digits than its factorization.

411671760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 411671760 is about 20289.6959070362. The cubic root of 411671760 is about 743.9042251556.

The spelling of 411671760 in words is "four hundred eleven million, six hundred seventy-one thousand, seven hundred sixty".