42225300 has 180 divisors, whose sum is σ = 147774396. Its totient is φ = 10368000.

The previous prime is 42225299. The next prime is 42225311. The reversal of 42225300 is 352224.

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 42224004 = 36^2 + 6498^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 105100 + ... + 105500.

Almost surely, 2^42225300 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 42225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73887198).

42225300 is an abundant number, since it is smaller than the sum of its proper divisors (105549096).

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

42225300 is a wasteful number, since it uses less digits than its factorization.

42225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

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

The square root of 42225300 is about 6498.0997222265. The cubic root of 42225300 is about 348.2231030734.

Adding to 42225300 its reverse (352224), we get a palindrome (42577524).

The spelling of 42225300 in words is "forty-two million, two hundred twenty-five thousand, three hundred".