42709320 has 192 divisors, whose sum is σ = 148262400. Its totient is φ = 10644480.

The previous prime is 42709313. The next prime is 42709327. The reversal of 42709320 is 2390724.

It is an interprime number because it is at equal distance from previous prime (42709313) and next prime (42709327).

It is not an unprimeable number, because it can be changed into a prime (42709327) by changing a digit.

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, 479836 + ... + 479924.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 2^42709320 is an apocalyptic number.

42709320 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 42709320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

42709320 is an abundant number, since it is smaller than the sum of its proper divisors (105553080).

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

42709320 is a wasteful number, since it uses less digits than its factorization.

42709320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

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

The square root of 42709320 is about 6535.2367975461. The cubic root of 42709320 is about 349.5485881106.

The spelling of 42709320 in words is "forty-two million, seven hundred nine thousand, three hundred twenty".