42445200 has 240 divisors, whose sum is σ = 161386496. Its totient is φ = 9331200.

The previous prime is 42445187. The next prime is 42445211. The reversal of 42445200 is 254424.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260319 + ... + 260481.

Almost surely, 2^42445200 is an apocalyptic number.

42445200 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 42445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80693248).

42445200 is an abundant number, since it is smaller than the sum of its proper divisors (118941296).

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

42445200 is a wasteful number, since it uses less digits than its factorization.

42445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42445200 is about 6514.9980813504. The cubic root of 42445200 is about 348.8265463201.

Adding to 42445200 its reverse (254424), we get a palindrome (42699624).

The spelling of 42445200 in words is "forty-two million, four hundred forty-five thousand, two hundred".