418968 has 72 divisors (see below), whose sum is σ = 1294020. Its totient is φ = 121440.

The previous prime is 418961. The next prime is 418981. The reversal of 418968 is 869814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18205 + ... + 18227.

2⁴¹⁸⁹⁶⁸ 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 418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647010).

418968 is an abundant number, since it is smaller than the sum of its proper divisors (875052).

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

418968 is a wasteful number, since it uses less digits than its factorization.

418968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 418968 is about 647.2773748556. The cubic root of 418968 is about 74.8273361342.

It can be divided in two parts, 41 and 8968, that added together give a palindrome (9009).

The spelling of 418968 in words is "four hundred eighteen thousand, nine hundred sixty-eight".