411278760 has 96 divisors (see below), whose sum is σ = 1346436000. Its totient is φ = 108872064.

The previous prime is 411278759. The next prime is 411278771. The reversal of 411278760 is 67872114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45931 + ... + 54149.

It is an arithmetic number, because the mean of its divisors is an integer number (14025375).

Almost surely, 2^411278760 is an apocalyptic number.

411278760 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 411278760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673218000).

411278760 is an abundant number, since it is smaller than the sum of its proper divisors (935157240).

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

411278760 is a wasteful number, since it uses less digits than its factorization.

411278760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 411278760 is about 20280.0088757377. The cubic root of 411278760 is about 743.6674285377.

The spelling of 411278760 in words is "four hundred eleven million, two hundred seventy-eight thousand, seven hundred sixty".