42368200 has 96 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 14227200.

The previous prime is 42368189. The next prime is 42368203. The reversal of 42368200 is 286324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42368203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73915 + ... + 74485.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^42368200 is an apocalyptic number.

42368200 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 42368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

42368200 is an abundant number, since it is smaller than the sum of its proper divisors (72535160).

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

42368200 is a wasteful number, since it uses less digits than its factorization.

42368200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42368200 is about 6509.0859573369. The cubic root of 42368200 is about 348.6154827800.

The spelling of 42368200 in words is "forty-two million, three hundred sixty-eight thousand, two hundred".