418768 has 20 divisors (see below), whose sum is σ = 927520. Its totient is φ = 179424.

The previous prime is 418763. The next prime is 418771. The reversal of 418768 is 867814.

It is a happy number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418763) by changing a digit.

418768 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, 1758 + ... + 1981.

It is an arithmetic number, because the mean of its divisors is an integer number (46376).

2⁴¹⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

418768 is an abundant number, since it is smaller than the sum of its proper divisors (508752).

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

418768 is a wasteful number, since it uses less digits than its factorization.

418768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3748 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 418768 is about 647.1228631412. The cubic root of 418768 is about 74.8154276280.

The spelling of 418768 in words is "four hundred eighteen thousand, seven hundred sixty-eight".