416768 has 44 divisors (see below), whose sum is σ = 933432. Its totient is φ = 184320.

The previous prime is 416761. The next prime is 416797. The reversal of 416768 is 867614.

416768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416761) by changing a digit.

416768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11246 + ... + 11282.

2⁴¹⁶⁷⁶⁸ 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 416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466716).

416768 is an abundant number, since it is smaller than the sum of its proper divisors (516664).

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

416768 is a wasteful number, since it uses less digits than its factorization.

416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 416768 is about 645.5757120586. The cubic root of 416768 is about 74.6961334943.

The spelling of 416768 in words is "four hundred sixteen thousand, seven hundred sixty-eight".