414420342 has 48 divisors (see below), whose sum is σ = 971293680. Its totient is φ = 117530112.

The previous prime is 414420341. The next prime is 414420361. The reversal of 414420342 is 243024414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414420341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35134 + ... + 45422.

It is an arithmetic number, because the mean of its divisors is an integer number (20235285).

Almost surely, 2^414420342 is an apocalyptic number.

414420342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414420342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485646840).

414420342 is an abundant number, since it is smaller than the sum of its proper divisors (556873338).

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

414420342 is a wasteful number, since it uses less digits than its factorization.

414420342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414420342 is about 20357.3166699347. The cubic root of 414420342 is about 745.5561464469.

Adding to 414420342 its reverse (243024414), we get a palindrome (657444756).

The spelling of 414420342 in words is "four hundred fourteen million, four hundred twenty thousand, three hundred forty-two".