414043420 has 96 divisors (see below), whose sum is σ = 1037909376. Its totient is φ = 135782400.

The previous prime is 414043393. The next prime is 414043423. The reversal of 414043420 is 24340414.

It is a junction number, because it is equal to n+sod(n) for n = 414043391 and 414043400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414043423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303540 + ... + 304900.

It is an arithmetic number, because the mean of its divisors is an integer number (10811556).

Almost surely, 2^414043420 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 414043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518954688).

414043420 is an abundant number, since it is smaller than the sum of its proper divisors (623865956).

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

414043420 is a wasteful number, since it uses less digits than its factorization.

414043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414043420 is about 20348.0569096904. The cubic root of 414043420 is about 745.3300460967.

Adding to 414043420 its reverse (24340414), we get a palindrome (438383834).

The spelling of 414043420 in words is "four hundred fourteen million, forty-three thousand, four hundred twenty".