412168064 has 256 divisors, whose sum is σ = 1128038400. Its totient is φ = 145152000.

The previous prime is 412168063. The next prime is 412168079. The reversal of 412168064 is 460861214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 412168064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412168061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5805149 + ... + 5805219.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2^412168064 is an apocalyptic number.

412168064 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 412168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

412168064 is an abundant number, since it is smaller than the sum of its proper divisors (715870336).

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

412168064 is a wasteful number, since it uses less digits than its factorization.

412168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 412168064 is about 20301.9226675702. The cubic root of 412168064 is about 744.2030509109.

The spelling of 412168064 in words is "four hundred twelve million, one hundred sixty-eight thousand, sixty-four".