420014424 has 64 divisors (see below), whose sum is σ = 1102579200. Its totient is φ = 133144704.

The previous prime is 420014401. The next prime is 420014429. The reversal of 420014424 is 424410024.

It is a self number, because there is not a number n which added to its sum of digits gives 420014424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420014429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42129 + ... + 51135.

It is an arithmetic number, because the mean of its divisors is an integer number (17227800).

Almost surely, 2^420014424 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 420014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551289600).

420014424 is an abundant number, since it is smaller than the sum of its proper divisors (682564776).

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

420014424 is a wasteful number, since it uses less digits than its factorization.

420014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420014424 is about 20494.2534384642. The cubic root of 420014424 is about 748.8958115995.

Adding to 420014424 its reverse (424410024), we get a palindrome (844424448).

The spelling of 420014424 in words is "four hundred twenty million, fourteen thousand, four hundred twenty-four".