42045300 has 216 divisors, whose sum is σ = 149490432. Its totient is φ = 9792000.

The previous prime is 42045281. The next prime is 42045313. The reversal of 42045300 is 354024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306832 + ... + 306968.

Almost surely, 2^42045300 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 42045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74745216).

42045300 is an abundant number, since it is smaller than the sum of its proper divisors (107445132).

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

42045300 is a wasteful number, since it uses less digits than its factorization.

42045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42045300 is about 6484.2347273984. The cubic root of 42045300 is about 347.7275910195.

Adding to 42045300 its reverse (354024), we get a palindrome (42399324).

The spelling of 42045300 in words is "forty-two million, forty-five thousand, three hundred".