416064 has 56 divisors (see below), whose sum is σ = 1207008. Its totient is φ = 125440.

The previous prime is 416023. The next prime is 416071. The reversal of 416064 is 460614.

It is a self number, because there is not a number n which added to its sum of digits gives 416064.

It is a congruent number.

It is an unprimeable number.

416064 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 2210.

2⁴¹⁶⁰⁶⁴ is an apocalyptic number.

416064 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 416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603504).

416064 is an abundant number, since it is smaller than the sum of its proper divisors (790944).

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

416064 is a wasteful number, since it uses less digits than its factorization.

416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 416064 is about 645.0302318496. The cubic root of 416064 is about 74.6540511566.

Adding to 416064 its reverse (460614), we get a palindrome (876678).

It can be divided in two parts, 4160 and 64, that added together give a palindrome (4224).

The spelling of 416064 in words is "four hundred sixteen thousand, sixty-four".