4242420 has 216 divisors, whose sum is σ = 16556904. Its totient is φ = 870912.

The previous prime is 4242409. The next prime is 4242421. The reversal of 4242420 is 242424.

4242420 is a `hidden beast` number, since 4 + 242 + 420 = 666.

4242420 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 3732624 = 714^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

4242420 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4242393 and 4242402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114642 + ... + 114678.

Almost surely, 2^4242420 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 4242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278452).

4242420 is an abundant number, since it is smaller than the sum of its proper divisors (12314484).

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

4242420 is a wasteful number, since it uses less digits than its factorization.

4242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4242420 is about 2059.7135723202. The cubic root of 4242420 is about 161.8842337075.

Adding to 4242420 its reverse (242424), we get a palindrome (4484844).

The spelling of 4242420 in words is "four million, two hundred forty-two thousand, four hundred twenty".