42306300 has 108 divisors (see below), whose sum is σ = 137597096. Its totient is φ = 11275200.

The previous prime is 42306287. The next prime is 42306307. The reversal of 42306300 is 360324.

42306300 is a `hidden beast` number, since 4 + 2 + 30 + 630 + 0 = 666.

42306300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42306307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23430 + ... + 25170.

Almost surely, 2^42306300 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 42306300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68798548).

42306300 is an abundant number, since it is smaller than the sum of its proper divisors (95290796).

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

42306300 is a wasteful number, since it uses less digits than its factorization.

42306300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42306300 is about 6504.3293274557. The cubic root of 42306300 is about 348.4456241277.

Adding to 42306300 its reverse (360324), we get a palindrome (42666624).

The spelling of 42306300 in words is "forty-two million, three hundred six thousand, three hundred".