42891200 has 84 divisors (see below), whose sum is σ = 115180872. Its totient is φ = 15590400.

The previous prime is 42891181. The next prime is 42891209. The reversal of 42891200 is 219824.

42891200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42891200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42891209) 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 11 ways as a sum of consecutive naturals, for example, 16382 + ... + 18818.

Almost surely, 2^42891200 is an apocalyptic number.

42891200 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 42891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57590436).

42891200 is an abundant number, since it is smaller than the sum of its proper divisors (72289672).

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

42891200 is a wasteful number, since it uses less digits than its factorization.

42891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 42891200 is about 6549.1373477734. The cubic root of 42891200 is about 350.0440760818.

The spelling of 42891200 in words is "forty-two million, eight hundred ninety-one thousand, two hundred".