42856320 has 256 divisors, whose sum is σ = 157308480. Its totient is φ = 9830400.

The previous prime is 42856313. The next prime is 42856321. The reversal of 42856320 is 2365824.

42856320 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42856321) 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, 424270 + ... + 424370.

Almost surely, 2^42856320 is an apocalyptic number.

42856320 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 42856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78654240).

42856320 is an abundant number, since it is smaller than the sum of its proper divisors (114452160).

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

42856320 is a wasteful number, since it uses less digits than its factorization.

42856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42856320 is about 6546.4738600257. The cubic root of 42856320 is about 349.9491626843.

The spelling of 42856320 in words is "forty-two million, eight hundred fifty-six thousand, three hundred twenty".