42599200 has 72 divisors (see below), whose sum is σ = 118867392. Its totient is φ = 14603520.

The previous prime is 42599189. The next prime is 42599201. The reversal of 42599200 is 299524.

It is not an unprimeable number, because it can be changed into a prime (42599201) 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 11 ways as a sum of consecutive naturals, for example, 1797 + ... + 9403.

It is an arithmetic number, because the mean of its divisors is an integer number (1650936).

Almost surely, 2^42599200 is an apocalyptic number.

42599200 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 42599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59433696).

42599200 is an abundant number, since it is smaller than the sum of its proper divisors (76268192).

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

42599200 is a wasteful number, since it uses less digits than its factorization.

42599200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 42599200 is about 6526.8062634033. The cubic root of 42599200 is about 349.2479088497.

The spelling of 42599200 in words is "forty-two million, five hundred ninety-nine thousand, two hundred".