418064 has 40 divisors (see below), whose sum is σ = 903960. Its totient is φ = 186368.

The previous prime is 418051. The next prime is 418069. The reversal of 418064 is 460814.

It is a happy number.

418064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 258064 = 400^2 + 508^2 .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418064.

It is not an unprimeable number, because it can be changed into a prime (418069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7862 + ... + 7914.

It is an arithmetic number, because the mean of its divisors is an integer number (22599).

2⁴¹⁸⁰⁶⁴ 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 418064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451980).

418064 is an abundant number, since it is smaller than the sum of its proper divisors (485896).

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

418064 is a wasteful number, since it uses less digits than its factorization.

418064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 418064 is about 646.5786881734. The cubic root of 418064 is about 74.7734794979.

Adding to 418064 its reverse (460814), we get a palindrome (878878).

The spelling of 418064 in words is "four hundred eighteen thousand, sixty-four".