414343242 has 64 divisors (see below), whose sum is σ = 978393600. Its totient is φ = 129729600.

The previous prime is 414343231. The next prime is 414343243. The reversal of 414343242 is 242343414.

It is a happy number.

414343242 is a `hidden beast` number, since 414 + 3 + 4 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414343243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54367 + ... + 61517.

It is an arithmetic number, because the mean of its divisors is an integer number (15287400).

Almost surely, 2^414343242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414343242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489196800).

414343242 is an abundant number, since it is smaller than the sum of its proper divisors (564050358).

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

414343242 is a wasteful number, since it uses less digits than its factorization.

414343242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 414343242 is about 20355.4229138085. The cubic root of 414343242 is about 745.5099084141.

Adding to 414343242 its reverse (242343414), we get a palindrome (656686656).

The spelling of 414343242 in words is "four hundred fourteen million, three hundred forty-three thousand, two hundred forty-two".