411992064 has 192 divisors, whose sum is σ = 1308602880. Its totient is φ = 123863040.

The previous prime is 411992041. The next prime is 411992081. The reversal of 411992064 is 460299114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243969 + ... + 3244095.

It is an arithmetic number, because the mean of its divisors is an integer number (6815640).

Almost surely, 2^411992064 is an apocalyptic number.

411992064 is a gapful number since it is divisible by the number (44) 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 411992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654301440).

411992064 is an abundant number, since it is smaller than the sum of its proper divisors (896610816).

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

411992064 is a wasteful number, since it uses less digits than its factorization.

411992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 411992064 is about 20297.5876399143. The cubic root of 411992064 is about 744.0971083791.

The spelling of 411992064 in words is "four hundred eleven million, nine hundred ninety-two thousand, sixty-four".