42305580 has 72 divisors (see below), whose sum is σ = 129703392. Its totient is φ = 11160576.

The previous prime is 42305569. The next prime is 42305581. The reversal of 42305580 is 8550324.

It is a super-3 number, since 3×42305580³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42305581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16249 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (1801436).

Almost surely, 2^42305580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42305580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64851696).

42305580 is an abundant number, since it is smaller than the sum of its proper divisors (87397812).

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

42305580 is a wasteful number, since it uses less digits than its factorization.

42305580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42305580 is about 6504.2739794692. The cubic root of 42305580 is about 348.4436474144.

The spelling of 42305580 in words is "forty-two million, three hundred five thousand, five hundred eighty".