411782064 has 60 divisors (see below), whose sum is σ = 1112100696. Its totient is φ = 131284736.

The previous prime is 411782029. The next prime is 411782093. The reversal of 411782064 is 460287114.

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 11 ways as a sum of consecutive naturals, for example, 17284 + ... + 33500.

Almost surely, 2^411782064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411782064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556050348).

411782064 is an abundant number, since it is smaller than the sum of its proper divisors (700318632).

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

411782064 is a wasteful number, since it uses less digits than its factorization.

411782064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 411782064 is about 20292.4139520167. The cubic root of 411782064 is about 743.9706601911.

The spelling of 411782064 in words is "four hundred eleven million, seven hundred eighty-two thousand, sixty-four".