42973600 has 36 divisors (see below), whose sum is σ = 104911254. Its totient is φ = 17189120.

The previous prime is 42973571. The next prime is 42973607. The reversal of 42973600 is 637924.

42973600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31764496 + 11209104 = 5636^2 + 3348^2 .

It is not an unprimeable number, because it can be changed into a prime (42973607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26059 + ... + 27658.

Almost surely, 2^42973600 is an apocalyptic number.

42973600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42973600 is an abundant number, since it is smaller than the sum of its proper divisors (61937654).

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

42973600 is a wasteful number, since it uses less digits than its factorization.

42973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53737 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 42973600 is about 6555.4252341095. The cubic root of 42973600 is about 350.2680939120.

The spelling of 42973600 in words is "forty-two million, nine hundred seventy-three thousand, six hundred".