42300 has 54 divisors (see below), whose sum is σ = 135408. Its totient is φ = 11040.

The previous prime is 42299. The next prime is 42307. The reversal of 42300 is 324.

42300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 877 + ... + 923.

2⁴²³⁰⁰ 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 42300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

42300 is an abundant number, since it is smaller than the sum of its proper divisors (93108).

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

42300 is a wasteful number, since it uses less digits than its factorization.

42300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 42300 is about 205.6696380120. The cubic root of 42300 is about 34.8428327126.

Adding to 42300 its product of nonzero digits (24), we get a palindrome (42324).

Adding to 42300 its reverse (324), we get a palindrome (42624).

It can be divided in two parts, 4 and 2300, that added together give a square (2304 = 48²).

The spelling of 42300 in words is "forty-two thousand, three hundred", and thus it is an iban number.