42204200 has 48 divisors (see below), whose sum is σ = 103905180. Its totient is φ = 15887360.

The previous prime is 42204181. The next prime is 42204203. The reversal of 42204200 is 240224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17023876 + 25180324 = 4126^2 + 5018^2 .

It is not an unprimeable number, because it can be changed into a prime (42204203) 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, 2807 + ... + 9606.

Almost surely, 2^42204200 is an apocalyptic number.

42204200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42204200 is an abundant number, since it is smaller than the sum of its proper divisors (61700980).

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

42204200 is a wasteful number, since it uses less digits than its factorization.

42204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42204200 is about 6496.4759677844. The cubic root of 42204200 is about 348.1650909996.

Adding to 42204200 its reverse (240224), we get a palindrome (42444424).

The spelling of 42204200 in words is "forty-two million, two hundred four thousand, two hundred".