42320200 has 96 divisors (see below), whose sum is σ = 108821160. Its totient is φ = 15206400.

The previous prime is 42320143. The next prime is 42320203. The reversal of 42320200 is 202324.

It can be written as a sum of positive squares in 12 ways, for example, as 820836 + 41499364 = 906^2 + 6442^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42320203) 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, 106402 + ... + 106798.

Almost surely, 2^42320200 is an apocalyptic number.

42320200 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 42320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54410580).

42320200 is an abundant number, since it is smaller than the sum of its proper divisors (66500960).

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

42320200 is a wasteful number, since it uses less digits than its factorization.

42320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42320200 is about 6505.3977587846. The cubic root of 42320200 is about 348.4837812803.

Adding to 42320200 its reverse (202324), we get a palindrome (42522524).

The spelling of 42320200 in words is "forty-two million, three hundred twenty thousand, two hundred".