4242300 has 72 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1110720.

The previous prime is 4242289. The next prime is 4242307. The reversal of 4242300 is 32424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4242300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242307) 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, 23611 + ... + 23789.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^4242300 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 4242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4242300 is an abundant number, since it is smaller than the sum of its proper divisors (8256900).

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

4242300 is a wasteful number, since it uses less digits than its factorization.

4242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4242300 is about 2059.6844418503. The cubic root of 4242300 is about 161.8827073545.

Adding to 4242300 its reverse (32424), we get a palindrome (4274724).

The spelling of 4242300 in words is "four million, two hundred forty-two thousand, three hundred".