420368 has 40 divisors (see below), whose sum is σ = 916608. Its totient is φ = 185472.

The previous prime is 420367. The next prime is 420383. The reversal of 420368 is 863024.

It is a happy number.

420368 is nontrivially palindromic in base 15.

420368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

420368 is an undulating number in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420368.

It is not an unprimeable number, because it can be changed into a prime (420361) by changing a digit.

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, 8921 + ... + 8967.

2⁴²⁰³⁶⁸ 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 420368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

420368 is an abundant number, since it is smaller than the sum of its proper divisors (496240).

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

420368 is a wasteful number, since it uses less digits than its factorization.

420368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 420368 is about 648.3579258403. The cubic root of 420368 is about 74.9105897494.

The spelling of 420368 in words is "four hundred twenty thousand, three hundred sixty-eight".