42854880 has 192 divisors, whose sum is σ = 147087360. Its totient is φ = 10450944.

The previous prime is 42854873. The next prime is 42854887. The reversal of 42854880 is 8845824.

42854880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42854873) and next prime (42854887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42854887) 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 31 ways as a sum of consecutive naturals, for example, 337377 + ... + 337503.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^42854880 is an apocalyptic number.

42854880 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 42854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

42854880 is an abundant number, since it is smaller than the sum of its proper divisors (104232480).

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

42854880 is a wasteful number, since it uses less digits than its factorization.

42854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 42854880 is about 6546.3638762293. The cubic root of 42854880 is about 349.9452431345.

It can be divided in two parts, 42854 and 880, that added together give a palindrome (43734).

The spelling of 42854880 in words is "forty-two million, eight hundred fifty-four thousand, eight hundred eighty".