411074560 has 128 divisors (see below), whose sum is σ = 1067958360. Its totient is φ = 150994944.

The previous prime is 411074537. The next prime is 411074563. The reversal of 411074560 is 65470114.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 209207296 = 14208^2 + 14464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (411074563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129824 + ... + 2130016.

Almost surely, 2^411074560 is an apocalyptic number.

411074560 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 411074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533979180).

411074560 is an abundant number, since it is smaller than the sum of its proper divisors (656883800).

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

411074560 is an equidigital number, since it uses as much as digits as its factorization.

411074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 411074560 is about 20274.9737361112. The cubic root of 411074560 is about 743.5443311458.

The spelling of 411074560 in words is "four hundred eleven million, seventy-four thousand, five hundred sixty".