42884800 has 126 divisors (see below), whose sum is σ = 122976132. Its totient is φ = 14676480.

The previous prime is 42884789. The next prime is 42884801. The reversal of 42884800 is 848824.

It is not an unprimeable number, because it can be changed into a prime (42884801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78127 + ... + 78673.

Almost surely, 2^42884800 is an apocalyptic number.

42884800 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 42884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61488066).

42884800 is an abundant number, since it is smaller than the sum of its proper divisors (80091332).

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

42884800 is a wasteful number, since it uses less digits than its factorization.

42884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 42884800 is about 6548.6487155748. The cubic root of 42884800 is about 350.0266646352.

The spelling of 42884800 in words is "forty-two million, eight hundred eighty-four thousand, eight hundred".