42185430 has 96 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 9305856.

The previous prime is 42185419. The next prime is 42185471. The reversal of 42185430 is 3458124.

42185430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42185430² = 3559221008569800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42185394 and 42185403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17116 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^42185430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42185430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

42185430 is an abundant number, since it is smaller than the sum of its proper divisors (87544170).

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

42185430 is a wasteful number, since it uses less digits than its factorization.

42185430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42185430 is about 6495.0311777543. The cubic root of 42185430 is about 348.1134687455.

The spelling of 42185430 in words is "forty-two million, one hundred eighty-five thousand, four hundred thirty".