42331200 has 84 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 11287040.

The previous prime is 42331171. The next prime is 42331217. The reversal of 42331200 is 213324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42331200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 9209.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^42331200 is an apocalyptic number.

42331200 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 42331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

42331200 is an abundant number, since it is smaller than the sum of its proper divisors (96566160).

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

42331200 is a wasteful number, since it uses less digits than its factorization.

42331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42331200 is about 6506.2431556160. The cubic root of 42331200 is about 348.5139716663.

Adding to 42331200 its reverse (213324), we get a palindrome (42544524).

The spelling of 42331200 in words is "forty-two million, three hundred thirty-one thousand, two hundred".