42357200 has 60 divisors (see below), whose sum is σ = 107766540. Its totient is φ = 15943680.

The previous prime is 42357181. The next prime is 42357209. The reversal of 42357200 is 275324.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 42354064 = 56^2 + 6508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42357209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3686 + ... + 9914.

It is an arithmetic number, because the mean of its divisors is an integer number (1796109).

Almost surely, 2^42357200 is an apocalyptic number.

42357200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53883270).

42357200 is an abundant number, since it is smaller than the sum of its proper divisors (65409340).

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

42357200 is a wasteful number, since it uses less digits than its factorization.

42357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 42357200 is about 6508.2409297751. The cubic root of 42357200 is about 348.5853099756.

The spelling of 42357200 in words is "forty-two million, three hundred fifty-seven thousand, two hundred".