42703920 has 240 divisors, whose sum is σ = 169066560. Its totient is φ = 9455616.

The previous prime is 42703901. The next prime is 42703931. The reversal of 42703920 is 2930724.

42703920 is a `hidden beast` number, since 4 + 270 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186366 + ... + 186594.

It is an arithmetic number, because the mean of its divisors is an integer number (704444).

Almost surely, 2^42703920 is an apocalyptic number.

42703920 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 42703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84533280).

42703920 is an abundant number, since it is smaller than the sum of its proper divisors (126362640).

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

42703920 is a wasteful number, since it uses less digits than its factorization.

42703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42703920 is about 6534.8236395484. The cubic root of 42703920 is about 349.5338556359.

The spelling of 42703920 in words is "forty-two million, seven hundred three thousand, nine hundred twenty".