42870784 has 72 divisors (see below), whose sum is σ = 94766490. Its totient is φ = 19374080.

The previous prime is 42870743. The next prime is 42870803. The reversal of 42870784 is 48707824.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 14992384 = 5280^2 + 3872^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247722 + ... + 247894.

Almost surely, 2^42870784 is an apocalyptic number.

42870784 is a gapful number since it is divisible by the number (44) 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 42870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383245).

42870784 is an abundant number, since it is smaller than the sum of its proper divisors (51895706).

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

42870784 is a wasteful number, since it uses less digits than its factorization.

42870784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 42870784 is about 6547.5784836839. The cubic root of 42870784 is about 349.9885275151.

The spelling of 42870784 in words is "forty-two million, eight hundred seventy thousand, seven hundred eighty-four".