42705920 has 88 divisors (see below), whose sum is σ = 108081600. Its totient is φ = 16146432.

The previous prime is 42705913. The next prime is 42705953. The reversal of 42705920 is 2950724.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97061 + ... + 97499.

It is an arithmetic number, because the mean of its divisors is an integer number (1228200).

Almost surely, 2^42705920 is an apocalyptic number.

42705920 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 42705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54040800).

42705920 is an abundant number, since it is smaller than the sum of its proper divisors (65375680).

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

42705920 is a wasteful number, since it uses less digits than its factorization.

42705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 42705920 is about 6534.9766640746. The cubic root of 42705920 is about 349.5393122528.

The spelling of 42705920 in words is "forty-two million, seven hundred five thousand, nine hundred twenty".