42895200 has 144 divisors (see below), whose sum is σ = 142397136. Its totient is φ = 11212800.

The previous prime is 42895189. The next prime is 42895201. The reversal of 42895200 is 259824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42895201) 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 23 ways as a sum of consecutive naturals, for example, 146254 + ... + 146546.

It is an arithmetic number, because the mean of its divisors is an integer number (988869).

Almost surely, 2^42895200 is an apocalyptic number.

42895200 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 42895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198568).

42895200 is an abundant number, since it is smaller than the sum of its proper divisors (99501936).

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

42895200 is a wasteful number, since it uses less digits than its factorization.

42895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 42895200 is about 6549.4427243850. The cubic root of 42895200 is about 350.0549573565.

The spelling of 42895200 in words is "forty-two million, eight hundred ninety-five thousand, two hundred".