42024300 has 72 divisors (see below), whose sum is σ = 122658816. Its totient is φ = 11108160.

The previous prime is 42024293. The next prime is 42024317. The reversal of 42024300 is 342024.

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 42024300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37549 + ... + 38651.

Almost surely, 2^42024300 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 42024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61329408).

42024300 is an abundant number, since it is smaller than the sum of its proper divisors (80634516).

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

42024300 is a wasteful number, since it uses less digits than its factorization.

42024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1240 counting only the distinct ones).

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

The square root of 42024300 is about 6482.6152130140. The cubic root of 42024300 is about 347.6696892208.

Adding to 42024300 its reverse (342024), we get a palindrome (42366324).

It can be divided in two parts, 42024 and 300, that added together give a palindrome (42324).

The spelling of 42024300 in words is "forty-two million, twenty-four thousand, three hundred".