42384600 has 192 divisors, whose sum is σ = 149990400. Its totient is φ = 10995840.

The previous prime is 42384583. The next prime is 42384623. The reversal of 42384600 is 648324.

42384600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 253717 + ... + 253883.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^42384600 is an apocalyptic number.

42384600 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 42384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

42384600 is an abundant number, since it is smaller than the sum of its proper divisors (107605800).

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

42384600 is a wasteful number, since it uses less digits than its factorization.

42384600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42384600 is about 6510.3456129456. The cubic root of 42384600 is about 348.6604579924.

The spelling of 42384600 in words is "forty-two million, three hundred eighty-four thousand, six hundred".