414002420 has 96 divisors (see below), whose sum is σ = 974405376. Its totient is φ = 146764800.

The previous prime is 414002401. The next prime is 414002437. The reversal of 414002420 is 24200414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756587 + ... + 757133.

It is an arithmetic number, because the mean of its divisors is an integer number (10150056).

Almost surely, 2^414002420 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 414002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487202688).

414002420 is an abundant number, since it is smaller than the sum of its proper divisors (560402956).

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

414002420 is a wasteful number, since it uses less digits than its factorization.

414002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 414002420 is about 20347.0494175445. The cubic root of 414002420 is about 745.3054435719.

Adding to 414002420 its reverse (24200414), we get a palindrome (438202834).

The spelling of 414002420 in words is "four hundred fourteen million, two thousand, four hundred twenty".