42655200 has 144 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 9745920.

The previous prime is 42655177. The next prime is 42655213. The reversal of 42655200 is 255624.

42655200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15531 + ... + 18069.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^42655200 is an apocalyptic number.

42655200 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 42655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

42655200 is an abundant number, since it is smaller than the sum of its proper divisors (116084640).

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

42655200 is a wasteful number, since it uses less digits than its factorization.

42655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42655200 is about 6531.0948546166. The cubic root of 42655200 is about 349.4008797899.

The spelling of 42655200 in words is "forty-two million, six hundred fifty-five thousand, two hundred".