42393600 has 252 divisors, whose sum is σ = 158456376. Its totient is φ = 10813440.

The previous prime is 42393599. The next prime is 42393607. The reversal of 42393600 is 639324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42393607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1843189 + ... + 1843211.

Almost surely, 2^42393600 is an apocalyptic number.

42393600 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 42393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79228188).

42393600 is an abundant number, since it is smaller than the sum of its proper divisors (116062776).

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

42393600 is a wasteful number, since it uses less digits than its factorization.

42393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 42393600 is about 6511.0367838003. The cubic root of 42393600 is about 348.6851345813.

The spelling of 42393600 in words is "forty-two million, three hundred ninety-three thousand, six hundred".