42445600 has 72 divisors (see below), whose sum is σ = 109750788. Its totient is φ = 15974400.

The previous prime is 42445577. The next prime is 42445607. The reversal of 42445600 is 654424.

It can be written as a sum of positive squares in 6 ways, for example, as 6780816 + 35664784 = 2604^2 + 5972^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42445607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12040 + ... + 15160.

Almost surely, 2^42445600 is an apocalyptic number.

42445600 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 42445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54875394).

42445600 is an abundant number, since it is smaller than the sum of its proper divisors (67305188).

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

42445600 is a wasteful number, since it uses less digits than its factorization.

42445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42445600 is about 6515.0287796755. The cubic root of 42445600 is about 348.8276420873.

The spelling of 42445600 in words is "forty-two million, four hundred forty-five thousand, six hundred".