414368 has 24 divisors (see below), whose sum is σ = 852768. Its totient is φ = 197824.

The previous prime is 414367. The next prime is 414383. The reversal of 414368 is 863414.

414368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (414361) 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 3 ways as a sum of consecutive naturals, for example, 455 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (35532).

2⁴¹⁴³⁶⁸ 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 414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384).

414368 is an abundant number, since it is smaller than the sum of its proper divisors (438400).

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

414368 is a wasteful number, since it uses less digits than its factorization.

414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 414368 is about 643.7142223068. The cubic root of 414368 is about 74.5524756785.

The spelling of 414368 in words is "four hundred fourteen thousand, three hundred sixty-eight".